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Q1. (a) Write 0.3 as a fraction. Answer ............................................ (1) (b) Write 4% as a decimal. Answer ............................................ (1) (Total 2 marks) Q2. Simon uses this method to work out % of 240. 50 % of 240 = 120 25 % of 240 = 60 12 Adding (a) 87 % of 240 = 30 % of 240 = 210 Use Simon’s method to work out You must show your working. % of 96. ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... Answer ................................................. (2) Page 1 of 16 (b) Pete says that he can work out step. % of 240 by using Simon’s method with one extra Explain how Pete can do this. ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... (2) (Total 4 marks) Q3. The diagram shows a network of one-way streets. Vehicles travel in the direction of the arrows. The fractions on the diagram show how the traffic divides at each junction. 300 vehicles enter the network at A. All 300 vehicles leave the network at either B or C or D. (a) Show that 200 vehicles leave the network at B. ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... (2) Page 2 of 16 (b) How many vehicles leave the network at D? ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... Answer ................................................. (3) (Total 5 marks) Q4. For each part circle the fraction whose value is closest to 1. (a) (1) (b) (1) (Total 2 marks) Q5. (a) In a primary school the ratio of boys to girls is 7 : 8 For each statement write down whether it is D C F Definitely true Could be true False ......................................................................................................................... ......................................................................................................................... (i) The number of boys in the school is 49 .................. (ii) The fraction of boys in the school is .................. (iii) The fraction of girls in the school is .................. (3) Page 3 of 16 (b) In a secondary school the ratio of boys to girls is 10 : 11 There are 830 boys in the school. How many girls are there in the school? ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... Answer ................................................. (2) (Total 5 marks) Q6. Two car hire firms use different ways of charging for the hire of a car. (a) Cheap Days uses this formula. H = 50d + 120 H is the hire charge in pounds. d is the number of days the car is hired. Work out H when d = 2 ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... Answer £................................................. (2) Page 4 of 16 (b) Cheap Miles uses this formula. H is the hire charge in pounds. m is the number of miles the car travels. Work out m when H = 200 ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... ......................................................................................................................... Answer ................................................. miles (2) (Total 4 marks) Page 5 of 16 M1. (a) oe fraction B1 (b) (0).04 B1 [2] Page 6 of 16 M2. (a) 50% of 96 25% of 96 of 96 and attempt at sum Must find 3 values ft and allow 1 error in the 3 values M1 84 84 with no working is M0 A1 Page 7 of 16 (b) ( is) half of (need to see both) B1 Add this extra amount on SC1 Obtains the value 225 B1 dep [4] Page 8 of 16 M3. (a) or 300 ÷ 3 × 2 or of 300 or of 300 300 ÷ 3 or of 300 or score B1 B2 Page 9 of 16 (b) 100 ÷ 5 or 20 oe earns M1 M1 (Their 80) ÷ 2 or 40 earns M1 M1 60 A1 [5] Page 10 of 16 M4. (a) Circles Any indication B1 Page 11 of 16 (b) Circles – Any indication B1 [2] Page 12 of 16 M5. (a) (i) (ii) F (iii) D C –1eeoo B3 Page 13 of 16 (b) oe 83 M1 913 A1 [5] Page 14 of 16 M6. (a) 50 × 2 + 120 or Better, eg, 100 + 120 M1 220 A1 Page 15 of 16 (b) 5 × 200 = m + 750 or M1 250 A1 [4] Page 16 of 16