Change pack
Capstone
Jun 22 - 28
25 questions
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1.
Number
Simplify: 5√12
Answer: 10√3
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2.
Algebra
Complete the square: 5x² - 20x - 5
Answer: 5(x - 2)² - 25
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3.
Geometry
Find area of triangle: a = 20cm, b = 21cm, angle = 76°. Give your answer to 2 decimal places
Answer: 203.76cm²
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4.
Ratio
a:b is 1:8 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 5:40:72
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5.
Statistics
Find the mean, median and range of: 97, 22, 39, 70, 36, 58, 67. Give your answer to 2 decimal places
Answer: Mean = 55.57, Median = 58, Range = 75
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: 3x² - 36x + 3
Answer: 3(x - 6)² - 105
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3.
Geometry
Find area of triangle: a = 23cm, b = 24cm, angle = 49°. Give your answer to 2 decimal places
Answer: 208.3cm²
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4.
Ratio
a:b is 9:7 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 27:21:56
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5.
Statistics
Find the mean, median and range of: 46, 30, 35, 89, 60, 55, 45. Give your answer to 2 decimal places
Answer: Mean = 51.43, Median = 46, Range = 59
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1.
Number
Simplify: 5√150
Answer: 25√6
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2.
Algebra
Complete the square: x² + 9x + 5
Answer: (x + 9⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 14cm, angle = 69°. Give your answer to 2 decimal places
Answer: 78.42cm²
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4.
Ratio
a:b is 4:5 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 12:15:10
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5.
Statistics
Find the mean, median and range of: 56, 85, 26, 40, 85, 58, 40. Give your answer to 2 decimal places
Answer: Mean = 55.71, Median = 56, Range = 59
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1.
Number
Simplify: 2√32
Answer: 8√2
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2.
Algebra
Complete the square: 3x² + 18x + 2
Answer: 3(x + 3)² - 25
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3.
Geometry
Find area of triangle: a = 26cm, b = 18cm, angle = 50°. Give your answer to 2 decimal places
Answer: 179.25cm²
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4.
Ratio
a:b is 9:7 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 27:21:7
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5.
Statistics
Find the mean, median and range of: 48, 10, 98, 26, 36, 55, 71. Give your answer to 2 decimal places
Answer: Mean = 49.14, Median = 48, Range = 88
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1.
Number
Simplify: √432
Answer: 12√3
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2.
Algebra
Complete the square: 4x² - 48x + 4
Answer: 4(x - 6)² - 140
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3.
Geometry
Find area of triangle: a = 13cm, b = 16cm, angle = 49°. Give your answer to 2 decimal places
Answer: 78.49cm²
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4.
Ratio
a:b is 7:8 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 63:72:64
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5.
Statistics
Find the mean, median and range of: 16, 78, 74, 51, 63, 98, 57, 17, 41
Answer: Mean = 55, Median = 57, Range = 82