Level 5 practice questions 3.3 3.23 3.2 3.03 = 11.25 = 10.9333 = 11.5 = 11.3333 = 11.2 C B 260 180 100 20 -60 -140 129 7492 51 Split the larger rhombuses into 2 triangles. You then have 24 triangles. Shade in any 8 of them. CLUE: SPLIT EACH OCTAGON UP INTO TRIANGLES AND SIMPLIFY YOUR FRACTION 24 TRIANGLES, 4 SHADED = 4/24 = 1/6 6 9 20 15/20 3/5 12/20 3/4 17/20 18/20 17/20 9/10 1/3 is the same as 5/15, 2/5 is the same as 6/15 so 2/5 is larger. 25 squares, 10 shaded = 10/25 Multiply by 4 to get a percentage = 40/100 = 40% 20 squares altogether, 6 shaded = 6/20 Multiply by 5 to get a percentage = 30/100 = 30% 1.25 1.5 2 matchsticks x 25 = 50 matchsticks DO THE SAME TO THE BOTTLETOPS 3 bottletops x 25 = 75 bottletops 250ml x 4 = 1 litre SO 10 strawberries x 4 = 40 strawberries 500ml of orange = 2 smoothies 250ml of orange = 1 smoothie 1250ml = 5 smoothies SO Amir needs 250ml more 2 cups = 500ml SO 1 cup = 250ml 3 sandwiches x 15 = 45 SO 2 bananas x 15 = 30 bananas CLUE: Write out all square numbers and try them out. 1 cake = 30p SO 10 cakes = £3 £2 x 6 = £12 £12 – 30p = £11.70 9 + 36 = 45 169, 196, 225 12 x 12 = 144 13 x 13 = 169 14 x 14 = 196 15 x 15 = 225 16 x 16 = 256 CLUE: WRITE OUT ALL THE PRIMES – TRY DIVIDING BY EACH CLUE: USE FACTORS OF 18 TO HELP 3 X 7 X 11 60, 90 2140 IS NOT A MULTIPLE OF 40 – IT IS NOT IN THE 4 TIMES TABLE 9900 25 £1.11 15 £1.35 £3.50 104 10.5 0.21 196.45 4.85 221.2 34 314 24 53 1 pen = 35p £1.10 – 35p = 75p CLUE: WRITE OUT THESE NUMBERS IN FIGURES 0.45 15 1500 ÷ 30 = 50 DAYS 6 50 188 180 69 33 6 200 64 459 18 200 150g 45% of the people visited the rest of the year 45% of 250000 = 112 500 157.5 367.5 58.906 4.86 178 65 x 63 813.75 58.17 13 17.5 x 4 = 70 70 ÷ 5 = 14 DIAMETER = 14 CM £1.36 X 114 = £155.04 £155.04 ÷ 8 = £19.38 (10,9) 93 – 97 DEGREES 25 degrees 35 degrees Y = 145 degrees X = 55 degrees 120 degrees 120 degrees 35 degrees Angle in equilateral triangle = 60 degrees Right angle = 90 degrees 90 – 60 = 30 degrees 30 – 12 = 18 degrees Each turn = 30 degrees (360 ÷ 12) 30 x 5 = 150 SO POINTER WILL BE AT NUMBER 5 9 TURNS X 30 = 180 DEGREES 2700g 12000g 3800m 50 portions £1.50 250g 350ml 75 – 78 cm 17 – 19 cm 400g 1200g or 1.2kg 1500m 1250g Length of 1 side = 72 ÷ 4 = 18cm Perimeter of rectangle = 18 + 18 + 9 + 9 = 54cm Length of one side = 15 ÷ 3 = 5cm Shape has 10 sides 5 x 10 = 50 cm 48cm squared 4 x 10 = 40 6 x 7 = 42 40 + 42 = 82cm squared Area of grey square = 12 x 12 = 144 cm squared Area of white square = 6 x 6 = 36 cm squared 144 – 36 = 108 cm squared 75 90 15 children 25000 1996 – 1997 1962 - 1964 7.2 – 7.9 cm 3.5 hours 1/10 – 3/20 (1/7, 1/8, 1/9, 1/10) 40 - 50 The mean is the total rainfall divided by 4 16 + 10 + 12 + 14 = 52 52 ÷ 4 = 13mm