ENGLISH

SCIENTIFIC CALCULATOR

: Indicates that h has been pressed and the hyperbolic functions are enabled. If @H are pressed, the symbols 2ndF HYP appear, indicating that inverse hyperbolic functions are enabled.
Multi-line Playback function
This calculator is equipped with a function to recall previous equations in the normal mode. Equations also include calculation ending instructions such as = and a maximum of 142 characters can be stored in memory. When the memory is full, stored equations are deleted in the order of the oldest first. Pressing [ will display the previous equation and the answer. Further pressing [ will display preceding equations (after returning to the previous equation, press ] to view equations in order). In addition, @[ can be used to jump to the oldest equation. To edit an equation after recalling it, press > (<). To edit the displayed equation, press > (<) immediately after obtaining a calculation answer. The multi-line memory is cleared by the following operations: @c, @F (including the Automatic Power Off feature), mode change, memory clear (@), RESET, @`, K (R ) ?, constant calculation, chain calculation, angle unit conversion, coordinate conversion, N-base conversion, numerical value storage to the temporary memories and independent memory.
Determination of the Angular Unit
In this calculator, the following three angular units (degrees, radians, and grads) can be specified.

DEG ()

EL-509WM EL-509WS
ALPHA: Indicates that K (STAT VAR), O or R has been pressed, and entry (recall) of memory contents and recall of statistics can be performed. FIX/SCI/ENG: Indicates the notation used to display a value and changes by SET UP menu. DEG/RAD/GRAD: Indicates angular units and changes each time G is pressed.

Press G

GRAD (g) RAD (rad)

OPERATION MANUAL

PRINTED IN CHINA 04KGK (TINSE0780EH01)

SCIENTIFIC CALCULATIONS

Press m0 to select the normal mode. In each example, press to clear the display. And if the FIX, SCI, or ENG indicator is displayed, clear the indicator by selecting NORM1 from the SET UP menu.
: Appears when statistics mode is selected. : Indicates that a numerical value is stored in the independent memory.

INTRODUCTION

Thank you for purchasing the SHARP Scientific Calculator Model EL-509WM/ 509WS. About the calculation examples (including some formulas and tables), refer to the reverse side of this English manual. Refer to the number on the right of each title on the manual for use. After reading this manual, store it in a convenient location for future reference.
BEFORE USING THE CALCULATOR Key Notation Used in this Manual
In this manual, key operations are described as follows: To specify ex : @e To specify ln : I To specify F : K Functions that are printed in orange above the key require @ to be pressed first before the key. When you specify the memory, press K first. Numbers for input value are not shown as keys, but as ordinary numbers.

Arithmetic Operations

The closing parenthesis ) just before = or ; may be omitted.
Priority Levels in Calculation
This calculator performs operations according to the following priority: Q Fractions (1l4, etc.) W Functions preceded by their argument (x-1, x2, n!, etc.) E Yx, x R Implied multiplication of a memory value (2Y, etc.) T Functions followed by their argument (sin, cos, etc.) Y Implied multiplication of a function (2sin30, etc.) U nCr, nPr I , O +, P AND { OR, XOR, XNOR } =, M+, M, M, |DEG, |RAD, |GRAD, DATA, CD, r, xy and other calculation ending instructions If parentheses are used, parenthesized calculations have precedence over any other calculations.

Constant Calculations

In constant calculations, the addend becomes a constant. Subtraction and division are performed in the same manner. For multiplication, the multiplicand becomes a constant. When performing calculations using constants, constants will be displayed as K.

Operational Notes

Do not carry the calculator around in your back pocket, as it may break when you sit down. The display is made of glass and is particularly fragile. Keep the calculator away from extreme heat such as on a car dashboard or near a heater, and avoid exposing it to excessively humid or dusty environments. Since this product is not waterproof, do not use it or store it where fluids, for example water, can splash onto it. Raindrops, water spray, juice, coffee, steam, perspiration, etc. will also cause malfunction. Clean with a soft, dry cloth. Do not use solvents or a wet cloth. Do not drop it or apply excessive force. Never dispose of batteries in a fire. Keep batteries out of the reach of children. This product, including accessories, may change due to upgrading without prior notice.

Functions

Refer to the calculation examples of each function. Before starting calculations, specify the angular unit.

Power On and Off

Press to turn the calculator on, and @F to turn it off.
INITIAL SET UP Mode Selection
Clearing the Entry and Memories
Clearing methods are described in the table as follows: Clearing operation @c @00*6 @10*7 RESET switch *1 *2 *3 *4 *5 *6 *7 : Clear : Retain Independent memory M. Temporary memory A-F, X and Y. Last answer memory. Statistical data (entered data). x, sx, x, n, x, x 2, , sy, y, y, y 2, xy, r, a, b, c. y All variables are cleared. See About the Memory clear key for details. This key combination functions the same as the RESET switch. See About the Memory clear key for details. Entry (Display) M*1 A-F, X,Y*2 ANS*3 STAT*4 STAT VAR*5

Random Function

The Random function has four settings for use in the normal or statistics mode. (This function cannot be selected while using the N-Base function.) Press to exit. The generated pseudo-random number series is stored in memory Y. Each random number is based on a number series. [Random Numbers] A pseudo-random number, with three significant digits from 0 up to 0.999, can be generated by pressing @`0. To generate the next random number, press. [Random Dice] To simulate a die-rolling, a random integer between 1 and 6 can be generated by pressing @`1. To generate the next random dice number, press. [Random Coin] To simulate a coin flip, 0 (head) or 1 (tail) can be randomly generated by pressing @`2. To generate the next random coin number, press. [Random Integer] An integer between 0 and 99 can be generated randomly by pressing @`3. To generate the next random integer number, press.
Normal mode (NORMAL): m0 Used to perform arithmetic operations and function calculations. Statistics mode (STAT): m1 Used to perform statistical calculations. Equation mode (EQN): m2 Used to perform equation calculations. When executing mode selection, temporary memories, statistical variables, statistical data and last answer memory will be cleared even when reselecting the same mode.

NOTICE

SHARP strongly recommends that separate permanent written records be kept of all important data. Data may be lost or altered in virtually any electronic memory product under certain circumstances. Therefore, SHARP assumes no responsibility for data lost or otherwise rendered unusable whether as a result of improper use, repairs, defects, battery replacement, use after the specified battery life has expired, or any other cause. SHARP will not be liable nor responsible for any incidental or consequential economic or property damage caused by misuse and/ or malfunctions of this product and its peripherals, unless such liability is acknowledged by law. Press the RESET switch (on the back), with the tip of a ball-point pen or similar object, only in the following cases. Do not use an object with a breakable or sharp tip. Note that pressing the RESET switch erases all data stored in memory. When using for the first time After replacing the batteries To clear all memory contents When an abnormal condition occurs and all keys are inoperative. If service should be required on this calculator, use only a SHARP servicing dealer, SHARP approved service facility, or SHARP repair service where available.

SET UP menu (FIX, SCI, ENG, NORM1, NORM2)
Press to display the SET UP menu.

FIX SCI ENG

NORM1 NORM2 ]
[About the Memory clear key] Press @ to display the menu.

MEM RESET

A menu item can be selected by: moving the flashing cursor by using ><, then press (= key), or pressing the number key corresponding to the menu item number. or is displayed on the screen, press [ or ] to view the If previous/next menu screen. Press to exit the SET UP menu. [Selecting the Display Notation and Decimal Places] The calculator has four display notation systems (Floating point, Fixed decimal point, Scientific notation and Engineering notation) for displaying calculation results. If 0 (FIX) or 2 (ENG) is pressed, TAB(0-9)? will be displayed and the number of decimal places (TAB) can be set to any value between 0 and 9. If 1 (SCI) is pressed, SIG(0-9)? will be displayed and the number of significant digits (SIG) can be set to any value between 0 and 9. Entering 0 will set a 10-digit display. If a floating point number does not fit in the specified range, the calculator will display the result using the scientific notation (exponential notation) system. See Setting the Floating Point Numbers System in Scientific Notation for details. [Setting the Floating Point Numbers System in Scientific Notation] The calculator has two settings for displaying a floating point number: NORM1 (default setting) and NORM2. In each display setting, a number is automatically displayed in scientific notation outside a preset range: NORM1: 0.000000001 x 9999999999 NORM2: 0.01 x 9999999999
1000003= [Floating point (NORM1)] [Fixed decimal point and TAB set to 2] [SCIentific notation and SIG set to 3] [ENGineering notation and TAB set to 2] [Floating point (NORM1)] 31000= [Floating point (NORM1)] [Floating point (NORM2)] [Floating point (NORM1)] 3 100000/3= 3/1000= 33333.33333 33333.33 3.331004 33.331003 33333.33333 0.003 3.1003 0.003

Angular Unit Conversions

Each time @g are pressed, the angular unit changes in sequence.
To clear all variables (M, A-F, X, Y, ANS, STAT VAR), press 00 or 0. To RESET the calculator, press 10 or 1. The RESET operation will erase all data stored in memory, and restore the calculator's default setting.

Memory Calculations

This calculator has 8 temporary memories (A-F, X and Y), one independent memory (M) and one last answer memory (ANS). The independent memory and temporary memories are only available in the normal mode. [Temporary memories (A-F, X and Y)] Press O and a corresponding variable key to store a value in memory. Press R and a corresponding variable key to recall a value from the memory. To place a variable in an equation, press K, followed by a desired variable key. [Independent memory (M)] In addition to all the features of temporary memories, a value can be added to or subtracted from an existing memory value. Press OM to clear the independent memory (M). [Last answer memory (ANS)] The calculation result obtained by pressing = or any other calculation ending instruction is automatically stored in the last answer memory. Note: Calculation results from the functions indicated below are automatically stored in memories X or Y. For this reason, when using these functions, be careful with the use of memories X and Y. Random function.. Y memory r, xy.. X memory (r or x), Y memory ( or y) Temporary memories and last answer memory are cleared even when the same mode is reselected. Use of R or K will recall the value stored in memory using up to 14 digits.

Hard Case

Entering and Correcting the Equation
[Cursor keys] Press < or > to move the cursor. You can also return to the equation after getting an answer by pressing > (<). See the next section for using the [ and ] keys. In the SET UP menu and other locations, use the < or > key to move the flashing cursor, then press (= key). If you need to scroll up/down the view, use the [ or ] key.

DISPLAY

Symbol Equation Display Mantissa Exponent
During actual use, not all symbols are displayed at the same time. Certain inactive symbols may appear visible when viewed from a far off angle. Only the symbols required for the usage under instruction are shown in the display and calculation examples of this manual.
[Insert mode and Overwrite mode in the Equation display] This calculator has two editing modes: insert mode (default), and overwrite mode. Pressing @ switches between the two modes. A triangular cursor indicates that an entry will be inserted at the cursor, while the rectangular cursor indicates to overwrite preexisting data as you make entries. To insert a number in the insert mode, move the cursor to the place immediately after where you wish to insert, then make a desired entry. In the overwrite mode, data under the cursor will be overwritten by the number you enter. This mode setting will be retained until the next RESET operation is executed. [Deletion key] To delete a number/function, move the cursor to the number/function you wish to delete, then press d. If the cursor is located at the right end of an equation, the d key will function as a back space key.
: Appears when the entire equation cannot be displayed. Press </> to see the remaining (hidden) section. : Indicates that data can be visible above/below the screen. These indications may appear when menu, multi-line playback, and statistics data are displayed. Press [/] to scroll up/down the view.

Chain Calculations

This calculator allows the previous calculation result to be used in the following calculation. The previous calculation result will not be recalled after entering multiple instructions. In the case of utilizing postfix functions ( , sin, etc.), you can perform a chain calculation even when the previous calculation result is cleared by the use of the or @c keys.
: Appears when @ is pressed, indicating that the functions shown in orange are enabled.

Fraction Calculations

This calculator performs arithmetic operations and memory calculations using fractions, and conversion between a decimal number and a fraction. If the number of digits to be displayed is greater than 10, the number is converted to and displayed as a decimal number.

Single-variable statistical calculation
Statistics of Q and value of the normal probability function
Normal Probability Calculations
P(t), Q(t), and R(t) will always take positive values, even when t<0, because these functions follow the same principle used when solving for an area. Values for P(t), Q(t), and R(t) are given to six decimal places.
When to Replace the Batteries
If the display has poor contrast, the batteries require replacement.
Linear regression calculation
Statistics of Q and W and, in addition, estimate of y for a given x (estimate y) and estimate of x for a given y (estimate x)

Cautions

Fluid from a leaking battery accidentally entering an eye could result in serious injury. Should this occur, wash with clean water and immediately consult a doctor. Should fluid from a leaking battery come in contact with your skin or clothes, immediately wash with clean water. If the product is not to be used for some time, to avoid damage to the unit from leaking batteries, remove them and store in a safe place. Do not leave exhausted batteries inside the product. Do not fit partially used batteries, and be sure not to mix batteries of different types. Keep batteries out of the reach of children. Exhausted batteries left in the calculator may leak and damage the calculator. Explosion risk may be caused by incorrect handling. Do not throw batteries into a fire as they may explode.
Binary, Pental, Octal, Decimal, and Hexadecimal Operations (N-Base)
This calculator can perform conversions between numbers expressed in binary, pental, octal, decimal and hexadecimal systems. It can also perform the four basic arithmetic operations, calculations with parentheses and memory calculations using binary, pental, octal, decimal, and hexadecimal numbers. In addition, the calculator can carry out the logical operations AND, OR, NOT, NEG, XOR and XNOR on binary, pental, octal and hexadecimal numbers. Conversion to each system is performed by the following keys: @: Converts to the binary system. appears. @: Converts to the pental system. appears. @: Converts to the octal system. appears. @: Converts to the hexadecimal system. appears. @: Converts to the decimal system. , , , and disappear from the display. Conversion is performed on the displayed value when these keys are pressed. Note: In this calculator, the hexadecimal numbers A F are entered by pressing , , L, , l, and I, and displayed as follows:

A B C D E F

Exponential regression, Logarithmic regression, Power regression, and Inverse regression calculation
Statistics of Q and W. In addition, estimate of y for a given x and estimate of x for a given y. (Since the calculator converts each formula into a linear regression formula before actual calculation takes place, it obtains all statistics, except coefficients a and b, from converted data rather than entered data.)

SIMULTANEOUS LINEAR EQUATIONS
Simultaneous linear equation with two unknowns (2-VLE) or with three unknowns (3-VLE) may be solved using this function. Q 2-VLE: m20 W 3-VLE: m21 If the determinant D = 0, an error occurs. If the absolute value of an intermediate result or calculation result is or more, an error occurs. Coefficients ( a1, etc.) can be entered using ordinary arithmetic operations. To clear the entered coefficients, press @c. Pressing when the determinant D is in the display recalls the coefficients. Each time is pressed, a coefficient is displayed in the order of input, allowing the entered coefficients to be verified (by pressing @, coefficients are displayed in reverse order.) To correct a particular coefficient being displayed, enter the correct value and then press.
Quadratic regression calculation
Statistics of Q and W and coefficients a, b, c in the quadratic regression formula (y = a + bx + cx2). (For quadratic regression calculations, no correlation coefficient (r) can be obtained.) When there are two x values, press @. When performing calculations using a, b and c, only one numeric value can be held. x sx x n x x2 y sy y y y2 xy r a b c Mean of samples (x data) Sample standard deviation (x data) Population standard deviation (x data) Number of samples Sum of samples (x data) Sum of squares of samples (x data) Mean of samples (y data) Sample standard deviation (y data) Population standard deviation (y data) Sum of samples (y data) Sum of squares of samples (y data) Sum of products of samples (x, y) Correlation coefficient Coefficient of regression equation Coefficient of regression equation Coefficient of quadratic regression equation

Replacement Procedure

1. 2. 3. 4. 5. 6. 7. Turn the power off by pressing @ F. Remove two screws. (Fig. 1) Slide the battery cover slightly and lift it to remove. Remove the used batteries by prying them out with a ball-point pen or other similar pointed device. (Fig. 2) Install two new batteries. Make sure the + side is facing up. Replace the cover and screws. Press the RESET switch (on the back). Make sure that the display appears as shown below. If the display does not appear as shown, remove the batteries reinstall them and check the display once again.
QUADRATIC AND CUBIC EQUATION SOLVERS
Quadratic (ax2 + bx + c = 0) or cubic (ax3 + bx2 + cx + d = 0) equation may be solved using this function. Q Quadratic equation solver: m22 W Cubic equation solver: m23 Press after entering each coefficient. The result will be displayed by pressing after entering all coefficients. When there are more than 2 results, the next solution will be displayed. When the result is an imaginary number, xy symbol will appear. The display can be switched between imaginary and real parts by pressing @. The results obtained by this function may include a margin of error.

A , B , C , D , E , F

In the binary, pental, octal, and hexadecimal systems, fractional parts cannot be entered. When a decimal number having a fractional part is converted into a binary, pental, octal, or hexadecimal number, the fractional part will be truncated. Likewise, when the result of a binary, pental, octal, or hexadecimal calculation includes a fractional part, the fractional part will be truncated. In the binary, pental, octal, and hexadecimal systems, negative numbers are displayed as a complement. W

(Fig. 1)

(Fig. 2)
Use K and R to perform a STAT variable calculation.
ERROR AND CALCULATION RANGES Errors
An error will occur if an operation exceeds the calculation ranges, or if a mathematically illegal operation is attempted. When an error occurs, pressing < (or >) automatically moves the cursor back to the place in the equation where the error occurred. Edit the equation or press to clear the equation.
Time, Decimal and Sexagesimal Calculations
Conversion between decimal and sexagesimal numbers can be performed. In addition, the four basic arithmetic operations and memory calculations can be carried out using the sexagesimal system. Notation for sexagesimal is as follows:
Data Entry and Correction
Entered data are kept in memory until @c are pressed or mode selection. Before entering new data, clear the memory contents. [Data Entry] Single-variable data Data k Data & frequency k (To enter multiples of the same data) Two-variable data Data x & Data y k Data x & Data y & frequency k (To enter multiples of the same data x and y.) Up to 100 data items can be entered. With the single-variable data, a data item without frequency assignment is counted as one data item, while an item assigned with frequency is stored as a set of two data items. With the two-variable data, a set of data items without frequency assignment is counted as two data items, while a set of items assigned with frequency is stored as a set of three data items. [Data Correction] Correction prior to pressing k immediately after a data entry: Delete incorrect data with , then enter the correct data. Correction after pressing k: Use [] to display the data previously entered. Press ] to display data items in ascending (oldest first) order. To reverse the display order to descending (latest first), press the [ key. Each item is displayed with Xn=, Yn=, or Nn= (n is the sequential number of the data set). Display the data item to modify, input the correct value, then press k. Using &, you can correct the values of the data set all at once. or appears, more data items can be browsed by pressing When [ or ]. To delete a data set, display an item of the data set to delete, then press @J. The data set will be deleted. To add a new data set, press and input the values, then press k.

Automatic Power Off Function
This calculator will turn itself off to save battery power if no key is pressed for approximately 10 minutes.

SPECIFICATIONS

Calculations: Internal calculations: Pending operations: Scientific calculations, statistical calculations, etc. Mantissas of up to 14 digits 24 calculations 10 numeric values (5 numeric values in STAT mode) Power source: 3V (DC): Alkaline batteries (LR44 or equivalent) 2 Power consumption: 0.0002 W Operating time: Approx. 5000 hours when continuously displaying 55555. at 25C (77F). Varies according to use and other factors. Operating temperature: 0C 40C (32F 104F) External dimensions: 79.6 mm (W) 154.5 mm (D) 13.2 mm (H) 3-1/8 (W) 6-3/32 (D) 17/32 (H) Weight: Approx. 95 g (0.21 lb) (Including batteries) Accessories: Batteries 2 (installed), operation manual, quick reference card and hard case

degree minute

second
Error Codes and Error Types
Syntax error (Error 1): An attempt was made to perform an invalid operation. Ex. 2 @{ Calculation error (Error 2): The absolute value of an intermediate or final calculation result equals or exceeds 10100. An attempt was made to divide by 0 (or an intermediate calculation resulted in zero). The calculation ranges were exceeded while performing calculations. Depth error (Error 3): The available number of buffers was exceeded. (There are 10 buffers* for numeric values and 24 buffers for calculation instructions). *5 buffers in STAT mode. Data items exceeded 100 in the statistics mode. Equation too long (Error 4): The equation exceeded its maximum input buffer (142 characters). An equation must be shorter than 142 characters.

Coordinate Conversions

Before performing a calculation, select the angular unit.
Y y 0 x X P (x,y) Y P (r, )

Rectangular coord.

Polar coord.
The calculation result is automatically stored in memories X and Y. Value of r or x: X memory Value of or y: Y memory

Modify Function

In this calculator, all calculation results are internally obtained in scientific notation with up to 14 digits for the mantissa. However, since calculation results are displayed in the form designated by the display notation and the number of decimal places indicated, the internal calculation result may differ from that shown in the display. By using the modify function, the internal value is converted to match that of the display, so that the displayed value can be used without change in subsequent operations.

Calculation Ranges

Within the ranges specified, this calculator is accurate to 1 of the least significant digit of the mantissa. However, a calculation error increases in continuous calculations due to accumulation of each calculation error. (This is the same for yx, x , ex, ln, etc., where continuous calculations are performed internally.) Additionally, a calculation error will accumulate and become larger in the vicinity of inflection points and singular points of functions. Calculation ranges 1099 ~ 9.9999999991099 and 0. If the absolute value of an entry or a final or intermediate result of a calculation is less than 1099, the value is considered to be 0 in calculations and in the display.
FOR MORE INFORMATION ABOUT SCIENTIFIC CALCULATOR
Visit our Web site. http://sharp-world.com/calculator/

STATISTICAL CALCULATIONS

Statistical calculations are performed in the statistics mode. Press m1 to select the statistics mode. This calculator performs the seven statistical calculations indicated below. After selecting the statistics mode, select the desired sub-mode by pressing the number key corresponding to your choice. When changing to the statistical sub-mode, press the corresponding number key after performing the operation to select the statistics mode (press m1). 0 (SD) 1 (LINE) 2 (QUAD) 3 (EXP) 4 (LOG) 5 (PWR) 6 (INV) : Single-variable statistics : Linear regression calculation : Quadratic regression calculation : Exponential regression calculation : Logarithmic regression calculation : Power regression calculation : Inverse regression calculation
Statistical Calculation Formulas
Type Linear Exponential Logarithmic Power Inverse Quadratic Regression formula y = a + bx y = a ebx y = a + b ln x y = a xb 1 y=a+b x y = a + bx + cx2
BATTERY REPLACEMENT Notes on Battery Replacement
Improper handling of batteries can cause electrolyte leakage or explosion. Be sure to observe the following handling rules: Replace both batteries at the same time. Do not mix new and old batteries. Make sure the new batteries are the correct type. When installing, orient each battery properly as indicated in the calculator. Batteries are factory-installed before shipment, and may be exhausted before they reach the service life stated in the specifications. Notes on erasure of memory contents When the battery is replaced, the memory contents are erased. Erasure can also occur if the calculator is defective or when it is repaired. Make a note of all important memory contents in case accidental erasure occurs.

The following statistics can be obtained for each statistical calculation (refer to the table below):
In the statistical calculation formulas, an error will occur when: The absolute value of the intermediate result or calculation result is equal to or greater than 1 10100. The denominator is zero. An attempt is made to take the square root of a negative number. No solution exists in the quadratic regression calculation.

SHARP CORPORATION

EL-509WM_ENGLISH_1

9 0. , 9 0. , 9 0. ,

(123)=
4 @= 8= 49 - 4 @$ 81 = @# 27 = 4 @!= = 10 @q 3 = 5 @Q 2 = 500 * 25 @% 120 / 400 @%

6.447419591 512.

3 + = [a] c [a.xxx] [d/c]
3\1\2+ 4\3= \ @| @ 2 \ 3 = 7\55= 1\81\3 = 64 \ 225 = ( )\ ( )= 1.2 \ 2.3 = 1o2o3\2= 1E3\2E3= 7 OA 4 \K A = 1.25 + 2 \ 5 = \ 1.65 = \ @| \ 123918.05 [10] 123.678 [60] 3h30m45s + 6h45m36s = [60] 12345612 + 0034.567 = [60] 3h45m 1.69h = [60] sin621224 = [10] 12 o 39 o 18.05 @_ 12.65501389 123.678 @_
CALCULATION EXAMPLES CONTOH-CONTOH PENGHITUNGAN CC V DU PHP TNH

83 = =

4 l5 l6 * 4.l6 4.l3125

123 4040.8

4. 3. 24. 720. 10. 125. 30. 625. 280.
3 o 30 o 45 + 6 o 45 o 36 = 1234 o 56 o 12 + 0 o 0 o 34.567 = 3 o 45 - 1.69 = @_ s 62 o 12 o 24 =

7 ( )5 = 5

0.884635235

1 ll15

50025%= 120400=?%

23 = 34

500+(50025%)= 500 + 25 @%
8 ll311.l2 7. 4 l7 1.l13 l20 1.l13 ll20 1.65

x= r = 14 = 36[] y =

13(5+2)= 235+2= 335+32= 3 ( 5 + 2 )= 3*5+2= 3*5+3*2= @[ ] ] [

400(40030%)=

400 - 30 @%

1.2 = 2.= = 2103

21. 17. 21. 21. 17. 21. 17.

x=6 r= y = 4 = []

= sin1 x, = tan1 x

DEG RAD GRAD

= cos1 x

0 0 200

6 @, 4 @{[r ] @[] @[r ] 14 @, 36 @}[x] @[y] @[x]
7.211102551 33.69006753 7.211102551

100 100

90 90
4 = A 2 1.25 + = [a.xxx] 5

b [a] c

11.32623792 8.228993532 11.32623792

+-*/()E

45+2853= 18+6 = 158 42(5)+120= 45 + 285 / 3 = ( 18 + 6 )/ ( 15 - 8 = 42 * 5 + 120 = *1 (5 ) *1

3.428571429 90.

90 [rad] [g] [] sin10.8 = [] [rad] [g] [] 90 @g @g @g @S 0.8 = @g @g @g
1.65 b [a] c [d/c] [a.xxx]
59=ANS ANS9= [FIX,TAB=1] 01 5/9= * 9 =*/ 9 =@j * 9 =*2 3
1.570796327 100. 90. 53.13010235 0.927295218 59.03344706 53.13010235

5 * 4 l5 l6 =4 6

0.6 5.0 0.6 5.4

SINGAPORE EXAMINATIONS AND ASSESSMENT BOARD 298 Jalan Bukit Ho Swee, Singapore 169565 http://www.seab.gov.sg
GUIDELINES ON THE USE OF ELECTRONIC CALCULATORS IN NATIONAL EXAMINATIONS 1. The scientific calculators used in the PSLE Mathematics and Foundation Mathematics examinations should have the following minimum features: (a) four arithmetic operations (, , , ) including the order of operations and use of brackets; (b) fractional function which retains the fraction in the form a/b and a b/c; (c) square root ( ) and cube root ( 3 ) functions; and (d) value of Pi ().
2. The following guidelines are to be adhered to in the use of scientific calculators in national examinations. (a) The calculator must be silent, with a visual display only. (b) The working condition of the calculator is the responsibility of the pupil and a fault in a calculator cannot be used as a reason for seeking special consideration for the user. (c) Calculators must not be borrowed from other pupils in the course of the examination for any reason. (d) External storage media, e.g. card, tape, and plug-in modules, must not be in the possession of pupils during the examination. (e) No unauthorised materials, e.g. instructions leaflets, formulae printed on the lid or cover of a calculator or similar materials, must be in the possession of pupils during the examination (where the instructions cannot be removed they should be securely covered). (f) No programmable calculators are allowed. (g) No calculators with permanent features of a programmed kind are allowed, e.g. calculators capable of numerical integration, numerical differentiation, and/or expressing in irrational number form. (h) No calculators with special communication features are allowed, e.g. calculators with the capability of remote communication via infra-red or blue-tooth with other machines. (i) No calculators with capabilities for storing and displaying visual and verbal information are allowed.
3. Graphic calculators are allowed for use ONLY in subjects examined at H1, H2 and H3 Levels of the GCE A-Level Curriculum. Candidates are to note the following: (a) No prepared programs may be taken into the examination room. Information (including text or formulae) and/or programs stored in the calculator's memory must be cleared before the examination. (b) No calculators with built-in symbolic algebra manipulations, symbolic differentiation or integration are allowed.
4. The use of any calculator with unacceptable features or for retrieval of information/programs during the examinations is an infringement of the regulations.
5. The list of approved models of scientific and graphic calculators can be found in Annex A.
The Singapore Public Service: Integrity, Service, Excellence
ANNEX A LIST OF APPROVED SCIENTIFIC CALCULATORS
The following models of Scientific Calculators are suitable for : PSLE Mathematics and Foundation Mathematics Examinations GCE N(T), N(A), O and A-Level Examinations AURORA SC 550 FIAMO SC 6 CANON F-715S CASIO FX 82AU FX 820MS

FX 82MS FX 992S

FX 85MS

FX 95MS

FX 95 SG Plus

FX 350MS

HEWLETT PACKARD HP 8S HP 9S HOSEKI H-1030

H-1031

HUBBLE COMPUTING SC-10B REDSPOT COMPUTING SC-10B SC-10C SHARP EL 509VM

EL 509 W

EL 509WM

EL 509WS

EL 546VA

EL W531S

TEXAS INSTRUMENTS TI 30XIIB TI 30XIIS

TI 34 II

LIST OF APPROVED GRAPHIC CALCULATORS
The following models of Graphic Calculators are approved for use ONLY in subjects examined at H1, H2 and H3 Levels of the A-Level curriculum. Note: All graphic calculators must be reset prior to any examination. CASIO CFX-9850GC PLUS TEXAS INSTRUMENTS TI-83 PLUS