Change pack
Capstone
Apr 25 - May 1
25 questions
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1.
Number
Simplify: √300
Answer: 10√3
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2.
Algebra
Complete the square: 4x² + 48x - 13
Answer: 4(x + 6)² - 157
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3.
Geometry
Find area of triangle: a = 19cm, b = 30cm, angle = 78°. Give your answer to 2 decimal places
Answer: 278.77cm²
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4.
Ratio
a:b is 5:3 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 40:24:15
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5.
Statistics
Find the mean, median and range of: 52, 20, 23, 63, 11, 80, 62, 83
Answer: Mean = 49.25, Median = 57, Range = 72
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1.
Number
Simplify: 3√27
Answer: 9√3
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2.
Algebra
Complete the square: x² + 11x + 6
Answer: (x + 11⁄2)² - 97⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 26cm, angle = 56°. Give your answer to 2 decimal places
Answer: 312.55cm²
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4.
Ratio
a:b is 1:2 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 5:10:14
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5.
Statistics
Find the mean, median and range of: 55, 88, 42, 93, 99, 54, 87, 30, 26. Give your answer to 2 decimal places
Answer: Mean = 63.78, Median = 55, Range = 73
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: x² - x + 5
Answer: (x - 1⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 26cm, angle = 46°. Give your answer to 2 decimal places
Answer: 215.08cm²
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4.
Ratio
a:b is 2:3 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 10:15:3
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5.
Statistics
Find the mean, median and range of: 83, 51, 72, 61, 90, 16, 69. Give your answer to 2 decimal places
Answer: Mean = 63.14, Median = 69, Range = 74
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: 4x² - 8x + 14
Answer: 4(x - 1)² + 10
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3.
Geometry
Find area of triangle: a = 16cm, b = 15cm, angle = 49°. Give your answer to 2 decimal places
Answer: 90.57cm²
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4.
Ratio
a:b is 5:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 40:56:35
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5.
Statistics
Find the mean, median and range of: 83, 88, 18, 90, 33, 10, 36, 86
Answer: Mean = 55.5, Median = 59.5, Range = 80
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: x² + x + 8
Answer: (x + 1⁄2)² + 31⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 12cm, angle = 71°. Give your answer to 2 decimal places
Answer: 153.17cm²
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4.
Ratio
a:b is 9:2 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 27:6:10
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5.
Statistics
Find the mean, median and range of: 19, 14, 93, 77, 98, 69, 53, 62, 32. Give your answer to 2 decimal places
Answer: Mean = 57.44, Median = 62, Range = 84