Change pack
Capstone
Jun 13 - 19
25 questions
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1.
Number
Simplify: 4√90
Answer: 12√10
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2.
Algebra
Complete the square: x² - 7x + 7
Answer: (x - 7⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 23cm, angle = 53°. Give your answer to 2 decimal places
Answer: 211.24cm²
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4.
Ratio
a:b is 9:5 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 72:40:25
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5.
Statistics
Find the mean, median and range of: 64, 56, 68, 58, 55, 44, 81, 62, 38. Give your answer to 2 decimal places
Answer: Mean = 58.44, Median = 58, Range = 43
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1.
Number
Simplify: 3√48
Answer: 12√3
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2.
Algebra
Complete the square: x² - 3x + 5
Answer: (x - 3⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 24cm, angle = 59°. Give your answer to 2 decimal places
Answer: 133.72cm²
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4.
Ratio
a:b is 8:7 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 72:63:14
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5.
Statistics
Find the mean, median and range of: 43, 80, 35, 27, 88, 80, 32, 65, 76. Give your answer to 2 decimal places
Answer: Mean = 58.44, Median = 65, Range = 61
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1.
Number
Simplify: √432
Answer: 12√3
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2.
Algebra
Complete the square: 5x² - 40x - 4
Answer: 5(x - 4)² - 84
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3.
Geometry
Find area of triangle: a = 29cm, b = 14cm, angle = 58°. Give your answer to 2 decimal places
Answer: 172.15cm²
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4.
Ratio
a:b is 7:4 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 35:20:32
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5.
Statistics
Find the mean, median and range of: 73, 23, 98, 19, 100, 83, 62, 45. Give your answer to 2 decimal places
Answer: Mean = 62.88, Median = 67.5, Range = 81
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1.
Number
Simplify: √240
Answer: 4√15
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2.
Algebra
Complete the square: 5x² + 20x - 11
Answer: 5(x + 2)² - 31
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3.
Geometry
Find area of triangle: a = 30cm, b = 27cm, angle = 71°. Give your answer to 2 decimal places
Answer: 382.94cm²
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4.
Ratio
a:b is 7:9 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 56:72:45
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5.
Statistics
Find the mean, median and range of: 64, 20, 58, 67, 79, 92, 33, 97
Answer: Mean = 63.75, Median = 65.5, Range = 77
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1.
Number
Simplify: 3√20
Answer: 6√5
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2.
Algebra
Complete the square: x² - 3x + 8
Answer: (x - 3⁄2)² + 23⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 16cm, angle = 76°. Give your answer to 2 decimal places
Answer: 124.2cm²
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4.
Ratio
a:b is 1:5 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 2:10:5
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5.
Statistics
Find the mean, median and range of: 23, 42, 43, 64, 14, 23, 62. Give your answer to 2 decimal places
Answer: Mean = 38.71, Median = 42, Range = 50