Change pack
Capstone
Jul 23 - 29
25 questions
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: x² - 7x + 12
Answer: (x - 7⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 15cm, angle = 41°. Give your answer to 2 decimal places
Answer: 103.33cm²
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4.
Ratio
a:b is 7:8 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 35:40:32
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5.
Statistics
Find the mean, median and range of: 82, 25, 10, 17, 53, 56, 84, 53, 62. Give your answer to 2 decimal places
Answer: Mean = 49.11, Median = 53, Range = 74
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1.
Number
Simplify: 3√12
Answer: 6√3
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2.
Algebra
Complete the square: 5x² - 10x + 1
Answer: 5(x - 1)² - 4
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3.
Geometry
Find area of triangle: a = 15cm, b = 26cm, angle = 59°. Give your answer to 2 decimal places
Answer: 167.15cm²
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4.
Ratio
a:b is 2:7 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 6:21:35
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5.
Statistics
Find the mean, median and range of: 41, 44, 50, 25, 68, 34, 87. Give your answer to 2 decimal places
Answer: Mean = 49.86, Median = 44, Range = 62
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1.
Number
Simplify: √833
Answer: 7√17
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2.
Algebra
Complete the square: 4x² - 40x + 8
Answer: 4(x - 5)² - 92
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3.
Geometry
Find area of triangle: a = 24cm, b = 23cm, angle = 79°. Give your answer to 2 decimal places
Answer: 270.93cm²
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4.
Ratio
a:b is 4:5 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 36:45:25
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5.
Statistics
Find the mean, median and range of: 88, 16, 20, 66, 90, 17, 12, 93
Answer: Mean = 50.25, Median = 43, Range = 81
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: x² - 9x + 6
Answer: (x - 9⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 17cm, angle = 61°. Give your answer to 2 decimal places
Answer: 193.29cm²
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4.
Ratio
a:b is 1:7 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 9:63:14
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5.
Statistics
Find the mean, median and range of: 57, 10, 13, 43, 81, 86, 83, 76. Give your answer to 2 decimal places
Answer: Mean = 56.13, Median = 66.5, Range = 76
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1.
Number
Simplify: 5√50
Answer: 25√2
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2.
Algebra
Complete the square: 3x² - 30x - 6
Answer: 3(x - 5)² - 81
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3.
Geometry
Find area of triangle: a = 24cm, b = 27cm, angle = 67°. Give your answer to 2 decimal places
Answer: 298.24cm²
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4.
Ratio
a:b is 8:7 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 64:56:7
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5.
Statistics
Find the mean, median and range of: 49, 22, 46, 29, 83, 77, 93
Answer: Mean = 57, Median = 49, Range = 71