Change pack
Capstone
Nov 25 - Dec 1
25 questions
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: 3x² + 36x + 10
Answer: 3(x + 6)² - 98
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3.
Geometry
Find area of triangle: a = 26cm, b = 18cm, angle = 74°. Give your answer to 2 decimal places
Answer: 224.94cm²
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4.
Ratio
a:b is 1:6 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 3:18:2
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5.
Statistics
Find the mean, median and range of: 87, 46, 72, 42, 42, 68, 82, 99
Answer: Mean = 67.25, Median = 70, Range = 57
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: x² + 9x - 5
Answer: (x + 9⁄2)² - 101⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 19cm, angle = 44°. Give your answer to 2 decimal places
Answer: 151.78cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 56:63:81
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5.
Statistics
Find the mean, median and range of: 93, 49, 77, 82, 61, 37, 47, 98, 45. Give your answer to 2 decimal places
Answer: Mean = 65.44, Median = 61, Range = 61
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: 5x² + 10x - 4
Answer: 5(x + 1)² - 9
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3.
Geometry
Find area of triangle: a = 23cm, b = 28cm, angle = 79°. Give your answer to 2 decimal places
Answer: 316.08cm²
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4.
Ratio
a:b is 1:9 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 7:63:9
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5.
Statistics
Find the mean, median and range of: 80, 92, 78, 21, 13, 34, 88, 92, 68. Give your answer to 2 decimal places
Answer: Mean = 62.89, Median = 78, Range = 79
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1.
Number
Simplify: √180
Answer: 6√5
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2.
Algebra
Complete the square: x² + 5x + 4
Answer: (x + 5⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 16cm, angle = 74°. Give your answer to 2 decimal places
Answer: 215.32cm²
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4.
Ratio
a:b is 6:7 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 24:28:7
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5.
Statistics
Find the mean, median and range of: 76, 90, 56, 33, 84, 47, 71, 76, 46. Give your answer to 2 decimal places
Answer: Mean = 64.33, Median = 71, Range = 57
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: x² - 7x + 3
Answer: (x - 7⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 28cm, angle = 41°. Give your answer to 2 decimal places
Answer: 119.4cm²
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4.
Ratio
a:b is 7:9 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 14:18:3
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5.
Statistics
Find the mean, median and range of: 71, 33, 71, 83, 54, 85, 50, 52. Give your answer to 2 decimal places
Answer: Mean = 62.38, Median = 62.5, Range = 52