Change pack
Capstone
Oct 10 - 16
25 questions
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1.
Number
Simplify: 3√12
Answer: 6√3
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2.
Algebra
Complete the square: x² + 7x - 7
Answer: (x + 7⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 21cm, angle = 78°. Give your answer to 2 decimal places
Answer: 133.52cm²
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4.
Ratio
a:b is 3:5 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 18:30:35
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5.
Statistics
Find the mean, median and range of: 10, 89, 49, 81, 48, 87, 28, 19, 53. Give your answer to 2 decimal places
Answer: Mean = 51.56, Median = 49, Range = 79
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1.
Number
Simplify: 5√28
Answer: 10√7
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2.
Algebra
Complete the square: 5x² + 10x + 9
Answer: 5(x + 1)² + 4
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3.
Geometry
Find area of triangle: a = 24cm, b = 26cm, angle = 65°. Give your answer to 2 decimal places
Answer: 282.77cm²
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4.
Ratio
a:b is 5:2 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 35:14:4
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5.
Statistics
Find the mean, median and range of: 86, 13, 37, 45, 48, 89, 23. Give your answer to 2 decimal places
Answer: Mean = 48.71, Median = 45, Range = 76
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1.
Number
Simplify: 2√40
Answer: 4√10
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2.
Algebra
Complete the square: x² - 9x - 7
Answer: (x - 9⁄2)² - 109⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 14cm, angle = 41°. Give your answer to 2 decimal places
Answer: 119.4cm²
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4.
Ratio
a:b is 3:5 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 18:30:5
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5.
Statistics
Find the mean, median and range of: 44, 33, 38, 100, 65, 26, 88. Give your answer to 2 decimal places
Answer: Mean = 56.29, Median = 44, Range = 74
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1.
Number
Simplify: 4√24
Answer: 8√6
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2.
Algebra
Complete the square: x² - 11x - 1
Answer: (x - 11⁄2)² - 125⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 16cm, angle = 77°. Give your answer to 2 decimal places
Answer: 233.85cm²
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4.
Ratio
a:b is 8:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 64:56:35
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5.
Statistics
Find the mean, median and range of: 55, 39, 93, 56, 25, 38, 95. Give your answer to 2 decimal places
Answer: Mean = 57.29, Median = 55, Range = 70
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1.
Number
Simplify: 3√48
Answer: 12√3
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2.
Algebra
Complete the square: x² - 7x - 7
Answer: (x - 7⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 12cm, angle = 60°. Give your answer to 2 decimal places
Answer: 62.35cm²
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4.
Ratio
a:b is 7:6 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 49:42:6
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5.
Statistics
Find the mean, median and range of: 54, 99, 62, 31, 74, 53, 25, 59, 49. Give your answer to 2 decimal places
Answer: Mean = 56.22, Median = 54, Range = 74