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Higher Maths Stars Order Ruby Emerald Amethyst Sapphire Opal

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Higher Maths Stars Order Ruby Emerald Amethyst Sapphire Opal Higher Maths Stars Order Ruby Emerald Amethyst Sapphire Opal Diamond Plutonium Ruby Star 15 minutes Name _______________ 6 1 (9 x 3) + 6 28 /7 of 35 4 2 (8 x 4) + 8 29 /7 of 28 2 3 (6 – 4) x 9 30 /3 of 27 2 4 8 + (7 x 8) 31 /9 of 18 2 5 23 – (3 x 6) 32 /5 of 25 4 6 (7 x 7) – (4 x 3) 33 /9 of 36 4 7 82 – (7 x 6) 34 /11 of 44 8 34 – (5 x 3) 35 852 ÷ 6 9 (4 x 9) + 52 36 1974 ÷ 6 10 (3 x 8) - ? = 14 37 3808 ÷ 8 11 (9 x 6) - 13 38 2133 ÷ 9 12 (8 x 4) + (3 x 6) 39 3822 ÷ 7 13 4 - 7 40 14 x 5 14 9 - ? = - 12 41 16 x 6 15 5 - 11 42 17 x 4 16 14 – 30 43 12 x 6 17 1 ½ - 2 ½ 44 19 x 7 18 9 – 12.5 45 13 x 6 19 3 - 19 46 24 x 5 20 5 – 3 - 4 47 16 x 8 21 13 - ? = -18 48 26 x 3 22 -5 + 12 = 49 43 x 4 23 -3 +22 = 50 64 x 5 24 -4 + ? = 16 2 25 /7 of 21 3 26 /5 of 15 27 ¾ of 16 Ruby Star 15 minutes Key skills Calculations that use brackets Adding and subtracting using negative numbers Calculating fractions of numbers Multiplying numbers greater than 10 Dividing large numbers by numbers less than 10 (Revised 3/2018) Ruby Star 15 minutes (answers) Name _______________ 6 1 (9 x 3) + 6 33 28 /7 of 35 30 4 2 (8 x 4) + 8 40 29 /7 of 28 16 2 3 (6 – 4) x 9 18 30 /3 of 27 18 2 4 8 + (7 x 8) 64 31 /9 of 18 4 2 5 23 – (3 x 6) 5 32 /5 of 25 10 4 6 (7 x 7) – (4 x 3) 37 33 /9 of 36 16 4 7 82 – (7 x 6) 40 34 /11 of 44 16 8 34 – (5 x 3) 19 35 852 ÷ 6 142 9 (4 x 9) + 52 88 36 1974 ÷ 6 329 10 (3 x 8) - ? = 14 10 37 3808 ÷ 8 476 11 (9 x 6) - 13 41 38 2133 ÷ 9 237 12 (8 x 4) + (3 x 6) 50 39 3822 ÷ 7 546 13 4 - 7 -3 40 14 x 5 70 14 9 - ? = - 12 21 41 16 x 6 96 15 5 - 11 -6 42 17 x 4 68 16 14 – 30 -16 43 12 x 6 72 17 1 ½ - 2 ½ -1 44 19 x 7 133 18 9 – 12.5 -3.5 45 13 x 6 78 19 3 - 19 -16 46 24 x 5 120 20 5 – 3 - 4 -2 47 16 x 8 128 21 13 - ? = -18 31 48 26 x 3 78 22 -5 + 12 = 7 49 43 x 4 172 23 -3 +22 = 19 50 64 x 5 320 24 -4 + ? = 16 20 2 25 /7 of 21 4 3 26 /5 of 15 9 27 ¾ of 16 12 Emerald Star 20 minutes Name ____________ 9 1 The range of 28 /7 of 35 65, 37, 84 8 2 The range of 29 /7 of 28 26, 3, 19, 25 5 3 The range of 30 /3 of 27 69, 25, 41, 28 8 4 The range of 31 /5 of 15 7, 6, -8, 12 5 The mean of 32 Split 25 in the ratio 32, 12, 25 2:3 6 The mean of 33 Split 49 in the ratio 53, 14, 29 3:4 7 The mean of 34 Split 72 in the ratio 12, 7, 17 5:7 8 The mean of 35 Split 81 in the ratio 45, 7, 32 7:2 9 The mode of 36 Split 64 in the ratio 2,1,3,5,6,4,1 5:3 10 The mode of 37 82 - 32 0,3,5,1,5,1,3,3 11 62 38 52 - 22 12 92 39 62 - √81 13 112 40 152 - √64 14 √144 41 122 - √49 15 √64 42 92 - √121 16 √16 43 33 17 √1 44 What are the factors of 25? 18 √400 45 What are the factors of 19? 19 The median of 46 What are the 12,15, 18,21,24 factors of 64? 20 The median of 47 What are the 6,4,9,7,8 factors of 24? 21 The median of 48 What are the 2,29,31,17,4 factors of 54? 22 The median of 49 What are the 45,55,35,25,65,15 factors of 36? 23 20% of 30 50 What are the factors of 68? 24 60% of 80 25 40% of 25 26 45% of 50 27 80% of 70 Emerald Star 20 minutes Key skills Mean, Mode, Range, Median Squares and square roots Percentages of whole numbers Ratio Factors Emerald Star 20 minutes Answers 9 1 The range of 47 28 /7 of 35 45 65, 37, 84 8 2 The range of 23 29 /7 of 28 32 26, 3, 19, 25 5 3 The range of 44 30 /3 of 27 45 69, 25, 41, 28 8 4 The range of 20 31 /5 of 15 24 7, 6, -8, 12 5 The mean of 23 32 Split 25 in the ratio 10:15 32, 12, 25 2:3 6 The mean of 32 33 Split 49 in the ratio 21:28 53, 14, 29 3:4 7 The mean of 12 34 Split 72 in the ratio 30:42 12, 7, 17 5:7 8 The mean of 28 35 Split 81 in the ratio 63:18 45, 7, 32 7:2 9 The mode of 1 36 Split 64 in the ratio 40:24 2,1,3,5,6,4,1 5:3 10 The mode of 3 37 82 - 32 15 0,3,5,1,5,1,3,3 11 62 36 38 52 - 22 21 12 92 81 39 62 - √81 27 13 112 121 40 152 - √64 217 14 √144 12 41 122 - √49 137 15 √64 8 42 92 - √121 70 16 √16 4 43 33 27 17 √1 1 44 What are the 1, 5, 25 factors of 25? 18 √400 20 45 What are the 1,19 factors of 19? 19 The median of 18 46 What are the 1,2,4,8,16, 12,15, 18,21,24 factors of 64? 32,64 20 The median of 7 47 What are the 1,2,3,4,6 6,4,9,7,8 factors of 24? 8,12,24 21 The median of 17 48 What are the 1,2,3,6,9, 2,29,31,17,4 factors of 54? 18,27,54 22 The median of 40 49 What are the 1,2,3,4,6,9, 45,55,35,25,65,15 factors of 36? 12,18,36 23 20% of 30 6 50 What are the 1,2,4,17,34, factors of 68? 68 24 60% of 80 48 25 40% of 25 10 26 45% of 50 22.5 27 80% of 70 56 Amethyst Star 20 minutes Name ____________ 4 1 30% of 90 24 /13 of 52 8 2 70% of 80 25 /14 of 42 2 3 15% of 60 26 /15 of 75 6 4 45% of 120 27 /16 of 64 5 35% of 40 28 Split 81 in the ratio 5:4 6 24% of 200 29 Split 84 in the ratio 3:4 7 53% of 300 20 Split 96 in the ratio 5:3 8 62% of 500 31 Split 132 in the ratio 5:7 9 √144 + 19 32 Split 184 in the ratio 1:7 10 33 + 42 33 13 x 14 11 105 - 43 34 41 x 16 12 √121 x 15 35 19 x 15 13 53 - 35 36 13 x 16 14 √169 x 7 37 252 ÷ 12 15 √81 x 8 38 396 ÷ 18 16 0.3 x 16 39 552 ÷ 23 17 0.7 x 14 40 I think of a number. I multiply it by 9, add 7 and halve it. My answer is 26, what is my number? 18 32 x 0.06 41 I think of a number. I divide it by 3, add 3 and multiply it by 8. The answer is 80, what is my number? 19 0.9 x 21 42 I think of a number. I double it, multiply it by 7 and then take off 45. The answer is 11. What is my number? 20 23 x 0.8 43 I have a length of ribbon that is 126 cm long. I cut it so that one piece is 14 cm longer than the short one. How long is the short piece? 21 What is the volume of 44 I have a piece of string that is a cuboid 242 cm long. I cut it so that one 3cm x 6cm x 8cm? piece is 30 cm longer than the short one. How long is the short piece? 22 What is the volume of 45 I cut a piece of ribbon into 3 a cuboid strips. One is 26 cm long, one is 4cm x 7cm x 6cm? 7cm shorter and one is the same length as the other 2 added together. How long is the longest ribbon? 23 What is the volume of a cuboid 9cm x 6cm x 11cm? Amethyst Star 20 minutes Key skills Squares and square roots Percentages of whole numbers Ratio Volume Multiplication by numbers between 10 – 20 Reasoning Amethyst Star 20 minutes Answers 4 1 30% of 90 27 24 /13 of 52 16 8 2 70% of 80 56 25 /14 of 42 24 2 3 15% of 60 9 26 /15 of 75 10 6 4 45% of 120 54 27 /16 of 64 24 5 35% of 40 14 28 Split 81 in the ratio 5:4 45:36 6 24% of 200 48 29 Split 84 in the ratio 3:4 36:48 7 53% of 300 159 20 Split 96 in the ratio 5:3 60:36 8 62% of 500 310 31 Split 132 in the ratio 5:7 55:77 9 √144 + 19 31 32 Split 184 in the ratio 1:7 23:161 10 33 + 42 69 33 13 x 14 192 11 105 - 43 41 34 41 x 16 656 12 √121 x 15 165 35 19 x 15 285 13 53 - 35 90 36 13 x 16 208 14 √169 x 7 91 37 252 ÷ 12 21 15 √81 x 8 72 38 396 ÷ 18 22 16 0.3 x 16 4.8 39 552 ÷ 23 24 17 0.7 x 14 9.8 40 I think of a number.
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