Change pack
Capstone
Sep 9 - 15
25 questions
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1.
Number
Simplify: √72
Answer: 6√2
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2.
Algebra
Complete the square: 5x² + 60x - 12
Answer: 5(x + 6)² - 192
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3.
Geometry
Find area of triangle: a = 25cm, b = 26cm, angle = 43°. Give your answer to 2 decimal places
Answer: 221.65cm²
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4.
Ratio
a:b is 7:5 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 63:45:10
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5.
Statistics
Find the mean, median and range of: 40, 61, 93, 57, 21, 33, 46, 95, 22
Answer: Mean = 52, Median = 46, Range = 74
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1.
Number
Simplify: √847
Answer: 11√7
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2.
Algebra
Complete the square: x² - 7x - 7
Answer: (x - 7⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 25cm, angle = 47°. Give your answer to 2 decimal places
Answer: 219.41cm²
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4.
Ratio
a:b is 1:5 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 3:15:40
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5.
Statistics
Find the mean, median and range of: 15, 12, 22, 60, 93, 99, 27, 19. Give your answer to 2 decimal places
Answer: Mean = 43.38, Median = 24.5, Range = 87
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1.
Number
Simplify: √352
Answer: 4√22
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2.
Algebra
Complete the square: x² + 7x
Answer: (x + 7⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 18cm, angle = 59°. Give your answer to 2 decimal places
Answer: 192.86cm²
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4.
Ratio
a:b is 2:9 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 4:18:63
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5.
Statistics
Find the mean, median and range of: 49, 89, 53, 63, 32, 92, 47, 14, 33. Give your answer to 2 decimal places
Answer: Mean = 52.44, Median = 49, Range = 78
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1.
Number
Simplify: √567
Answer: 9√7
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2.
Algebra
Complete the square: x² - 3x + 1
Answer: (x - 3⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 16cm, angle = 76°. Give your answer to 2 decimal places
Answer: 139.72cm²
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4.
Ratio
a:b is 8:3 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 56:21:12
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5.
Statistics
Find the mean, median and range of: 98, 13, 30, 73, 92, 72, 85. Give your answer to 2 decimal places
Answer: Mean = 66.14, Median = 73, Range = 85
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: 3x² - 36x - 8
Answer: 3(x - 6)² - 116
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3.
Geometry
Find area of triangle: a = 25cm, b = 29cm, angle = 74°. Give your answer to 2 decimal places
Answer: 348.46cm²
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4.
Ratio
a:b is 7:4 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 21:12:4
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5.
Statistics
Find the mean, median and range of: 55, 16, 68, 78, 52, 55, 42, 82, 15. Give your answer to 2 decimal places
Answer: Mean = 51.44, Median = 55, Range = 67