Change pack
Capstone
Apr 6 - 12
25 questions
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1.
Number
Simplify: 2√32
Answer: 8√2
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2.
Algebra
Complete the square: x² - 7x + 2
Answer: (x - 7⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 18cm, angle = 80°. Give your answer to 2 decimal places
Answer: 221.58cm²
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4.
Ratio
a:b is 4:9 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 20:45:9
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5.
Statistics
Find the mean, median and range of: 47, 24, 66, 20, 97, 71, 77. Give your answer to 2 decimal places
Answer: Mean = 57.43, Median = 66, Range = 77
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1.
Number
Simplify: √931
Answer: 7√19
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2.
Algebra
Complete the square: x² + 9x - 10
Answer: (x + 9⁄2)² - 121⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 23cm, angle = 68°. Give your answer to 2 decimal places
Answer: 319.88cm²
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4.
Ratio
a:b is 9:7 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 45:35:21
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5.
Statistics
Find the mean, median and range of: 68, 17, 56, 40, 16, 44, 40. Give your answer to 2 decimal places
Answer: Mean = 40.14, Median = 40, Range = 52
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1.
Number
Simplify: 5√28
Answer: 10√7
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2.
Algebra
Complete the square: x² + 7x - 2
Answer: (x + 7⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 21cm, angle = 42°. Give your answer to 2 decimal places
Answer: 140.52cm²
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4.
Ratio
a:b is 5:4 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 45:36:4
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5.
Statistics
Find the mean, median and range of: 14, 10, 52, 38, 73, 48, 79, 91. Give your answer to 2 decimal places
Answer: Mean = 50.63, Median = 50, Range = 81
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1.
Number
Simplify: √50
Answer: 5√2
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2.
Algebra
Complete the square: 2x² - 24x - 14
Answer: 2(x - 6)² - 86
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3.
Geometry
Find area of triangle: a = 19cm, b = 28cm, angle = 63°. Give your answer to 2 decimal places
Answer: 237.01cm²
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4.
Ratio
a:b is 3:2 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 9:6:2
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5.
Statistics
Find the mean, median and range of: 84, 54, 36, 84, 65, 95, 98, 100, 20. Give your answer to 2 decimal places
Answer: Mean = 70.67, Median = 84, Range = 80
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: x² + 7x + 11
Answer: (x + 7⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 29cm, angle = 42°. Give your answer to 2 decimal places
Answer: 174.64cm²
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4.
Ratio
a:b is 9:8 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 81:72:8
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5.
Statistics
Find the mean, median and range of: 15, 71, 90, 45, 30, 96, 30. Give your answer to 2 decimal places
Answer: Mean = 53.86, Median = 45, Range = 81