homeks3 maths sats

calculators allowed For Paper 1 of your examination you are not allowed a calculator, but for Paper 2, you are.

Make sure you know how your calculator works - before taking the exam!
Your calculator must be set to D or DEG for degrees (not R, RAD, G or GRA). The order you press the buttons in is important, and some buttons are very useful.
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percent
  The percentage button

This function is usually found by pressing SHIFT equals. To find 24% of £32, press 32multiply24percent and the calculator will display 7.68
To convert the fraction \displaystyle \frac{3}{4} to a percent, press 3divide4percent and the calculator will display 75.
To increase £12 by 4% press 12multiply4percentadd and the calculator will display 12.48.

negative
  The negative number button

Or +/-. Be clear about the difference between this button and the "take away" button.
In a calculation like 6 - -7 the first - means "take away" and the second means "negative 7".
You should enter 6subtractnegative7equals to get 13 as your answer.

A common source of confusion occurs when you want to find the square of a negative number, for example, -3². Does this mean -3 x -3 = 9 or -1 x 9 = -9? If you enter these instructions:
subtract3square or
negative3square
you get -9. If you want the calculator to work out -3 x -3, then you should enter
left bracketsubtract3right bracketsquare or
left bracketnegative3right bracketsquare
Although it is true that calculators do not always say Error! if you use subtract when you should have used negative, it is good practise to do so. Often calculators will insert Ans automatically if you use subtract wrongly, and then give you totally the wrong answer.



square
square root
  The square and square root buttons

These two buttons work out squares and square roots, for example 3.52 is found by entering 3.5squareequals to obtain 12.25. The square root of 256 is found by entering square root256equals to get 16.
You will need these buttons when solving problems using Pythagoras's theorem. If the two shorter sides of a right-angled triangle are 4 cm and 7 cm, then the longest side (the hypotenuse) can be found by entering square rootleft bracket4squareadd7squareright bracketequals to get 8.062257748

Many recent calculators also have a cube button for working out cubes. For example 2cubeequals will give 8 as the answer.




power
  The powers button

Or xy. You use this to work out powers or indices. To work out 34, enter 3power4equals and you will get 81. For 26 enter 2power6equals, which is 64. For 5-1 you should enter 5powernegative1equals and get 0.2.
To work out 2.1² you could enter either
2.1power2 or 2.1square

What is 60?




fraction
  The fractions button

You can add, subtract, multiply and divide fractions with this button, and simplify fractions and convert between decimal and fraction form.
To work out \displaystyle \frac{2}{5}+\frac{3}{4} you should enter 2fraction5add3fraction4equals and your calculator should display 1fraction mark3fraction mark20 which means \displaystyle 1 \frac{3}{20}. If you press fraction again the calculator will convert this fraction to the decimal 1.15.
To work out \displaystyle \frac{3}{5} \times \frac{1}{6} you should enter 3fraction5multiply1fraction6equals and your calculator should display 1fraction mark10 which means \displaystyle 1 \frac{1}{10} and shows that your answer has been automatically simplified for you.
You can convert any decimal to a fraction with this button. To convert 0.126 you enter 0.126equalsfraction and 63fraction mark500 is displayed.

The area of a trapezium is given by the formula \text{area} = \frac{1}{2}(a+b)h. When a = 3 , b = 4 and h = 7, enter
1fraction2multiplyleft bracket3add4right bracketmultiply7equals
and your calculator will display 24.5.


EXP
  The Exponential button

Or EE button. Use this to enter numbers in standard form.
For example, the number \displaystyle 6 \times 10^{13} is entered as 6EXP13equals.
So to work out 4.1 \times 10^{9} + 3.8 \times 10^8 you enter
4.1EXP9add3.8EXP8equals to obtain the answer 4.48 \times 10^{9}


Ans
  The ANS button

Many calculators now have an ANS buttons as well as an "=" button. The ANS button will recall the previous answer. These buttons can be used to repeat simple calculations over and over again (which is called iteration). For example, if this set of instructions is entered:
12equalsAnsdivide2add3equalsequalsequalsequals
then 9, 7.5, 6.75, 6.375 should be displayed.


sin
cos
tan
  The trigonometry buttons

These three buttons are use to find the sine, cosine and tangent of an angle. To find cos (30°) enter cos30equals and the calculator will display 0.866025403.
To find the angle whose tangent is 1.3, you use the tan-1 function obtained by pressing SHIFT (or 2nd on some calculators) then tan.
So SHIFTtan1.3equals will display 52.43140798.
Remember that your calculator must be set to DEG (not RAD or GRA) for this to work correctly.




  Examples
Use your calculator to find to three decimal places: