Change pack
Capstone
Feb 6 - 12
25 questions
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: 5x² - 50x - 6
Answer: 5(x - 5)² - 131
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3.
Geometry
Find area of triangle: a = 30cm, b = 30cm, angle = 74°. Give your answer to 2 decimal places
Answer: 432.57cm²
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4.
Ratio
a:b is 3:5 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 21:35:5
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5.
Statistics
Find the mean, median and range of: 20, 37, 60, 100, 71, 65, 25, 99, 27
Answer: Mean = 56, Median = 60, Range = 80
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1.
Number
Simplify: √832
Answer: 8√13
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2.
Algebra
Complete the square: x² + 7x - 9
Answer: (x + 7⁄2)² - 85⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 15cm, angle = 71°. Give your answer to 2 decimal places
Answer: 85.cm²
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4.
Ratio
a:b is 1:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 3:21:49
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5.
Statistics
Find the mean, median and range of: 32, 50, 40, 77, 88, 62, 33. Give your answer to 2 decimal places
Answer: Mean = 54.57, Median = 50, Range = 56
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1.
Number
Simplify: 3√175
Answer: 15√7
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2.
Algebra
Complete the square: x² + 5x - 10
Answer: (x + 5⁄2)² - 65⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 30cm, angle = 70°. Give your answer to 2 decimal places
Answer: 267.81cm²
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4.
Ratio
a:b is 5:9 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 20:36:81
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5.
Statistics
Find the mean, median and range of: 86, 55, 29, 75, 33, 33, 19, 55. Give your answer to 2 decimal places
Answer: Mean = 48.13, Median = 44, Range = 67
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1.
Number
Simplify: 2√80
Answer: 8√5
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2.
Algebra
Complete the square: x² - x - 11
Answer: (x - 1⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 22cm, angle = 47°. Give your answer to 2 decimal places
Answer: 209.17cm²
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4.
Ratio
a:b is 9:7 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 45:35:14
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5.
Statistics
Find the mean, median and range of: 14, 14, 79, 75, 52, 77, 16, 44. Give your answer to 2 decimal places
Answer: Mean = 46.38, Median = 48, Range = 65
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: 3x² + 24x + 6
Answer: 3(x + 4)² - 42
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3.
Geometry
Find area of triangle: a = 30cm, b = 27cm, angle = 76°. Give your answer to 2 decimal places
Answer: 392.97cm²
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4.
Ratio
a:b is 5:6 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 25:30:48
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5.
Statistics
Find the mean, median and range of: 96, 11, 60, 24, 86, 87, 28
Answer: Mean = 56, Median = 60, Range = 85