Assumed Knowledge (Number) 11

4 Evaluate:

a 53 ¥ 107 b^38 ¥ 116 c 154 ¥^25 d^25 ¥ 4

e 1 ¥^35 f 113 ¥^38 g^23 ¥ 112 h 214 ¥ (^123)
5 Calculate:
a 337 +1^45 b 412 ¡ 223 c 7 ¡ 6 £^34 d^45 £ 112 ¥ 3
e

8 £ 3 £^13

2

3

f 1 ¥(^14 +^23 ) g 1 ¥^14 +^23 h

3 ¡^12

3 £^53

i^23 +^13 £ 112 j^56 £^45 ¡ 151 k^13 +^13 ¥^15 +^35 l 112 ¡ 213 ¥ (^123)
m 12 ¡^27 £ 312 n 113 +^56 ¡^1112 o 625 ¡^14 £ 113 ¥^16
Example 16 Self Tutor
The word ‘of’
Anna scores^35 of her team’s goals in a netball match. means ‘£’
How many goals did she shoot if the team shot 70 goals?
Anna shot^35 of70 =^35 £ 70

3 £ 70

5

=42goals.

6aDuring a full season a football team scored 84 goals. If William scored 125 of the goals, how many

goals did William score?

b^27 of my weekly earnings must be paid as tax to the government. If I earn$ 840 : 00 in one week,

how much tax needs to be paid?

c Jade drinks^14 of a full bottle of water. An hour later she drinks^16 of the original volume. What

fraction remains?

d In the first half of a basketball game one team scored 45 points. This was^59 of their score for the

whole game. How many points did the team score in the second half?

e Sally was paidE 1830 : 00 as an end of year bonus for doing well at her job. She spent^13 of it on

clothing,^14 on sporting goods, and 121 on jewellery.

i What fraction did she spend? ii How much of the money was left?

f Carli ate^14 of a chocolate bar and later ate^23 of what remained. What fraction of the original bar

does she have left?

g^37 of Fred’s fortune isU3 240 000. How much money does Fred have in total?

FRACTIONS ON A CALCULATOR

Most scientific calculators and theCasio fx-9860Ghave a fraction key ab/c that is used to enter common

fractions.

There is no such key for theTI-84 Plus, so fractions need to be entered differently. You should consult the

calculator section on page 12.

14

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IGCSE01

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Y:\HAESE\IGCSE01\IG01_AS\011IGCSE01_AS.CDR Wednesday, 10 September 2008 2:11:17 PM PETER
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