Cambridge International Mathematics

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 ...

12 Assumed Knowledge (Number) Remember that although you may perform operations on fractions using your calculator, youmust not ...

Assumed Knowledge (Number) 13 1 Write down: a the first 8 powers of 2 b the first 5 powers of 3 c the first 4 powers of 4 d the ...

14 Assumed Knowledge (Number) Example 19 Self Tutor Write as a ratio, without simplifying your answer: a Jack has$5and Jill has ...

Assumed Knowledge (Number) 15 Example 20 Self Tutor Express45 : 10 in simplest form. 45 : 10 =45¥ 5 :10¥ 5 f 5 is the HCF of 45 ...

16 Assumed Knowledge (Number) EQUAL RATIOS Ratios areequalif they can be expressed in the same simplest form. For example, 6:4an ...

Assumed Knowledge (Number) 17 3 A recipe for tomato soup uses tomatoes and onions in the ratio7:2.If 21 kg of tomatoes are used, ...

18 Assumed Knowledge (Number) Example 25 Self Tutor In one year, Maria’s height increases from 150 cm in the ratio31 : 30. Find ...

Assumed Knowledge (Number) 19 6 The map alongside has a scale of1 : 500 000, which means that 1 cm on the map represents500 000c ...

20 Assumed Knowledge (Number) 7 Divide an inheritance of$36 000in the ratio 3:5:10. 8 a sugar b cocoa is used? 9 At the moorings ...

Assumed Knowledge (Number) 21 1 Convert: a 0 : 65 into an equivalent fraction, percentage and ratio b 60% into an equivalent fra ...

22 Assumed Knowledge (Number) ² Look at theseconddecimal place. If the digit is 5 , 6 , 7 , 8 or 9 , roundup. If the digit is 0 ...

Assumed Knowledge (Number) 23 5 Find the answer correct to the number of decimal places shown in square brackets: a^174 [1] b^73 ...

24 Assumed Knowledge (Number) 1 Round correct to the number of significant figures shown in brackets. a 42 : 3 [2] b 6 : 237 [3] ...

Assumed Knowledge (Number) 25 Example 33 Self Tutor Estimate the product: 623 £ 69 Round 623 to the nearest 100 and round 69 to ...

26 Assumed Knowledge (Number) UNITS OF TIME 1 minute=60seconds 1 hour=60minutes= 3600seconds 1 day=24hours 1 week=7days 1 year=1 ...

Assumed Knowledge (Number) 27 4 Calculate the following, expressing your answers in hours, minutes and seconds: a 1 h 19 min+2h ...

28 Assumed Knowledge (Number) 9 Calculate the time: a 3 hours after 8 : 16 am b 3 hours before 11 : 45 am c 512 hours after 10 : ...

ANSWERS 1 EXERCISE A (^1) Number NZQR 19 XXXX ¡^23 £ £ X X p 7 £ £ £ X (^5) p: 6389 ££XX 16 X X X X 2 ¼ £££X ¡ 11 £ XXX 6 p^0 £ ...

2 ANSWERS 3a1:2 b3:1 c 3:1 d3:5 e2:3 f8:15 g8:39 h39 : 50 i 2:1 j 1:2 k4:1 l 6:4:3 4a2:1 b1:3 c 1:4 d 7:10 e3:7 f 40 : 1 g1:50 E ...