Change pack
Capstone
Jun 14 - 20
25 questions
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1.
Number
Simplify: √175
Answer: 5√7
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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 = 28cm, b = 28cm, angle = 42°. Give your answer to 2 decimal places
Answer: 262.3cm²
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4.
Ratio
a:b is 1:4 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 3:12:20
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5.
Statistics
Find the mean, median and range of: 65, 67, 31, 58, 62, 85, 20. Give your answer to 2 decimal places
Answer: Mean = 55.43, Median = 62, Range = 65
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: 2x² - 20x - 3
Answer: 2(x - 5)² - 53
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3.
Geometry
Find area of triangle: a = 12cm, b = 25cm, angle = 75°. Give your answer to 2 decimal places
Answer: 144.89cm²
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4.
Ratio
a:b is 6:5 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 42:35:40
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5.
Statistics
Find the mean, median and range of: 69, 75, 22, 86, 64, 64, 95. Give your answer to 2 decimal places
Answer: Mean = 67.86, Median = 69, Range = 73
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1.
Number
Simplify: √350
Answer: 5√14
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2.
Algebra
Complete the square: 2x² - 4x + 6
Answer: 2(x - 1)² + 4
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3.
Geometry
Find area of triangle: a = 18cm, b = 13cm, angle = 74°. Give your answer to 2 decimal places
Answer: 112.47cm²
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4.
Ratio
a:b is 5:2 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 15:6:10
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5.
Statistics
Find the mean, median and range of: 34, 28, 28, 50, 56, 62, 80, 19. Give your answer to 2 decimal places
Answer: Mean = 44.63, Median = 42, Range = 61
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: 4x² + 40x - 12
Answer: 4(x + 5)² - 112
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3.
Geometry
Find area of triangle: a = 20cm, b = 28cm, angle = 77°. Give your answer to 2 decimal places
Answer: 272.82cm²
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4.
Ratio
a:b is 1:2 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 7:14:12
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5.
Statistics
Find the mean, median and range of: 26, 44, 38, 82, 81, 27, 81, 98. Give your answer to 2 decimal places
Answer: Mean = 59.63, Median = 62.5, Range = 72
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1.
Number
Simplify: 3√75
Answer: 15√3
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2.
Algebra
Complete the square: x² - 11x + 4
Answer: (x - 11⁄2)² - 105⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 26cm, angle = 62°. Give your answer to 2 decimal places
Answer: 298.44cm²
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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: 75, 48, 11, 32, 77, 98, 94, 85
Answer: Mean = 65, Median = 76, Range = 87