Change pack
Capstone
Feb 11 - 17
25 questions
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1.
Number
Simplify: 4√275
Answer: 20√11
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2.
Algebra
Complete the square: 4x² + 8x + 11
Answer: 4(x + 1)² + 7
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3.
Geometry
Find area of triangle: a = 13cm, b = 22cm, angle = 72°. Give your answer to 2 decimal places
Answer: 136cm²
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4.
Ratio
a:b is 5:7 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 45:63:56
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5.
Statistics
Find the mean, median and range of: 70, 61, 61, 20, 36, 75, 41
Answer: Mean = 52, Median = 61, Range = 55
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1.
Number
Simplify: √363
Answer: 11√3
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2.
Algebra
Complete the square: 2x² - 8x
Answer: 2(x - 2)² - 8
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3.
Geometry
Find area of triangle: a = 16cm, b = 22cm, angle = 59°. Give your answer to 2 decimal places
Answer: 150.86cm²
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4.
Ratio
a:b is 7:2 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 63:18:4
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5.
Statistics
Find the mean, median and range of: 85, 71, 46, 14, 84, 70, 36
Answer: Mean = 58, Median = 70, Range = 71
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: 2x² + 20x - 10
Answer: 2(x + 5)² - 60
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3.
Geometry
Find area of triangle: a = 23cm, b = 15cm, angle = 78°. Give your answer to 2 decimal places
Answer: 168.73cm²
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4.
Ratio
a:b is 6:7 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 12:14:7
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5.
Statistics
Find the mean, median and range of: 16, 57, 86, 87, 26, 89, 62. Give your answer to 2 decimal places
Answer: Mean = 60.43, Median = 62, Range = 73
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: x² - 11x - 6
Answer: (x - 11⁄2)² - 145⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 25cm, angle = 40°. Give your answer to 2 decimal places
Answer: 152.66cm²
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4.
Ratio
a:b is 3:2 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 21:14:4
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5.
Statistics
Find the mean, median and range of: 72, 21, 81, 78, 73, 90, 66, 88. Give your answer to 2 decimal places
Answer: Mean = 71.13, Median = 75.5, Range = 69
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1.
Number
Simplify: √352
Answer: 4√22
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2.
Algebra
Complete the square: 3x² + 36x - 9
Answer: 3(x + 6)² - 117
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3.
Geometry
Find area of triangle: a = 17cm, b = 30cm, angle = 59°. Give your answer to 2 decimal places
Answer: 218.58cm²
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4.
Ratio
a:b is 1:2 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 5:10:16
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5.
Statistics
Find the mean, median and range of: 87, 17, 93, 35, 34, 52, 13. Give your answer to 2 decimal places
Answer: Mean = 47.29, Median = 35, Range = 80