Change pack
Capstone
Aug 26 - Sep 1
25 questions
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1.
Number
Simplify: 5√80
Answer: 20√5
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2.
Algebra
Complete the square: x² - 7x + 6
Answer: (x - 7⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 20cm, angle = 41°. Give your answer to 2 decimal places
Answer: 131.21cm²
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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: 87, 47, 48, 46, 75, 41, 37, 83
Answer: Mean = 58, Median = 47.5, Range = 50
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1.
Number
Simplify: 3√275
Answer: 15√11
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2.
Algebra
Complete the square: x² - 11x - 9
Answer: (x - 11⁄2)² - 157⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 24cm, angle = 49°. Give your answer to 2 decimal places
Answer: 199.24cm²
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4.
Ratio
a:b is 3:8 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 9:24:64
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5.
Statistics
Find the mean, median and range of: 51, 69, 12, 24, 24, 50, 74. Give your answer to 2 decimal places
Answer: Mean = 43.43, Median = 50, Range = 62
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1.
Number
Simplify: √686
Answer: 7√14
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2.
Algebra
Complete the square: x² - 3x - 12
Answer: (x - 3⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 16cm, angle = 50°. Give your answer to 2 decimal places
Answer: 116.44cm²
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4.
Ratio
a:b is 9:5 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 63:35:5
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5.
Statistics
Find the mean, median and range of: 97, 95, 60, 24, 42, 40, 88. Give your answer to 2 decimal places
Answer: Mean = 63.71, Median = 60, Range = 73
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: x² + 5x + 2
Answer: (x + 5⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 14cm, angle = 60°. Give your answer to 2 decimal places
Answer: 169.74cm²
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4.
Ratio
a:b is 7:8 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 35:40:64
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5.
Statistics
Find the mean, median and range of: 60, 55, 61, 65, 83, 62, 11. Give your answer to 2 decimal places
Answer: Mean = 56.71, Median = 61, Range = 72
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1.
Number
Simplify: 2√20
Answer: 4√5
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2.
Algebra
Complete the square: x² - 11x
Answer: (x - 11⁄2)² - 121⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 19cm, angle = 48°. Give your answer to 2 decimal places
Answer: 155.32cm²
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4.
Ratio
a:b is 5:4 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 35:28:16
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5.
Statistics
Find the mean, median and range of: 23, 31, 54, 51, 60, 98, 81. Give your answer to 2 decimal places
Answer: Mean = 56.86, Median = 54, Range = 75