Change pack
Capstone
Oct 24 - 30
25 questions
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1.
Number
Simplify: √640
Answer: 8√10
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2.
Algebra
Complete the square: x² - 9x + 1
Answer: (x - 9⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 17cm, angle = 48°. Give your answer to 2 decimal places
Answer: 164.24cm²
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4.
Ratio
a:b is 7:5 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 49:35:5
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5.
Statistics
Find the mean, median and range of: 85, 27, 45, 42, 22, 53, 97, 31, 65. Give your answer to 2 decimal places
Answer: Mean = 51.89, Median = 45, Range = 75
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1.
Number
Simplify: 4√40
Answer: 8√10
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2.
Algebra
Complete the square: x² - 3x - 1
Answer: (x - 3⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 12cm, angle = 57°. Give your answer to 2 decimal places
Answer: 60.38cm²
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4.
Ratio
a:b is 5:8 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 45:72:40
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5.
Statistics
Find the mean, median and range of: 15, 11, 67, 96, 19, 25, 68, 69
Answer: Mean = 46.25, Median = 46, Range = 85
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1.
Number
Simplify: √250
Answer: 5√10
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2.
Algebra
Complete the square: 2x² + 4x - 14
Answer: 2(x + 1)² - 16
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3.
Geometry
Find area of triangle: a = 20cm, b = 23cm, angle = 73°. Give your answer to 2 decimal places
Answer: 219.95cm²
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4.
Ratio
a:b is 5:3 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 10:6:15
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5.
Statistics
Find the mean, median and range of: 49, 53, 42, 68, 49, 17, 51, 63, 65. Give your answer to 2 decimal places
Answer: Mean = 50.78, Median = 51, Range = 51
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: x² - x + 7
Answer: (x - 1⁄2)² + 27⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 13cm, angle = 41°. Give your answer to 2 decimal places
Answer: 93.82cm²
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4.
Ratio
a:b is 8:7 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 24:21:56
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5.
Statistics
Find the mean, median and range of: 27, 15, 66, 95, 40, 83, 40, 35. Give your answer to 2 decimal places
Answer: Mean = 50.13, Median = 40, Range = 80
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1.
Number
Simplify: √847
Answer: 11√7
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2.
Algebra
Complete the square: 4x² + 48x + 15
Answer: 4(x + 6)² - 129
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3.
Geometry
Find area of triangle: a = 24cm, b = 25cm, angle = 52°. Give your answer to 2 decimal places
Answer: 236.4cm²
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4.
Ratio
a:b is 8:7 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 40:35:7
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5.
Statistics
Find the mean, median and range of: 51, 91, 22, 57, 14, 32, 60, 52. Give your answer to 2 decimal places
Answer: Mean = 47.38, Median = 51.5, Range = 77