Change pack
Capstone
Jul 25 - 31
25 questions
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: x² + 9x - 9
Answer: (x + 9⁄2)² - 117⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 25cm, angle = 66°. Give your answer to 2 decimal places
Answer: 171.29cm²
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4.
Ratio
a:b is 1:3 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 7:21:27
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5.
Statistics
Find the mean, median and range of: 43, 55, 71, 42, 59, 51, 69, 69, 65. Give your answer to 2 decimal places
Answer: Mean = 58.22, Median = 59, Range = 29
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1.
Number
Simplify: 3√48
Answer: 12√3
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2.
Algebra
Complete the square: x² - 9x - 4
Answer: (x - 9⁄2)² - 97⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 16cm, angle = 68°. Give your answer to 2 decimal places
Answer: 155.77cm²
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4.
Ratio
a:b is 9:2 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 45:10:16
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5.
Statistics
Find the mean, median and range of: 100, 12, 80, 63, 62, 18, 53. Give your answer to 2 decimal places
Answer: Mean = 55.43, Median = 62, Range = 88
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1.
Number
Simplify: √175
Answer: 5√7
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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 = 21cm, b = 24cm, angle = 50°. Give your answer to 2 decimal places
Answer: 193.04cm²
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4.
Ratio
a:b is 2:3 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 16:24:27
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5.
Statistics
Find the mean, median and range of: 91, 19, 96, 62, 33, 96, 92. Give your answer to 2 decimal places
Answer: Mean = 69.86, Median = 91, Range = 77
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1.
Number
Simplify: √1000
Answer: 10√10
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2.
Algebra
Complete the square: x² - x
Answer: (x - 1⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 25cm, angle = 67°. Give your answer to 2 decimal places
Answer: 241.63cm²
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4.
Ratio
a:b is 1:7 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 6:42:49
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5.
Statistics
Find the mean, median and range of: 72, 82, 27, 27, 47, 86, 68. Give your answer to 2 decimal places
Answer: Mean = 58.43, Median = 68, Range = 59
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1.
Number
Simplify: √567
Answer: 9√7
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2.
Algebra
Complete the square: 5x² + 10x + 3
Answer: 5(x + 1)² - 2
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3.
Geometry
Find area of triangle: a = 24cm, b = 27cm, angle = 54°. Give your answer to 2 decimal places
Answer: 262.12cm²
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4.
Ratio
a:b is 4:7 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 12:21:7
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5.
Statistics
Find the mean, median and range of: 64, 65, 63, 33, 36, 46, 90, 75
Answer: Mean = 59, Median = 63.5, Range = 57