Change pack
Capstone
Sep 17 - 23
25 questions
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1.
Number
Simplify: 4√112
Answer: 16√7
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2.
Algebra
Complete the square: 3x² - 12x - 13
Answer: 3(x - 2)² - 25
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3.
Geometry
Find area of triangle: a = 12cm, b = 14cm, angle = 48°. Give your answer to 2 decimal places
Answer: 62.42cm²
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4.
Ratio
a:b is 2:7 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 16:56:21
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5.
Statistics
Find the mean, median and range of: 61, 56, 68, 29, 78, 78, 82. Give your answer to 2 decimal places
Answer: Mean = 64.57, Median = 68, Range = 53
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1.
Number
Simplify: 3√112
Answer: 12√7
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2.
Algebra
Complete the square: x² - 3x + 4
Answer: (x - 3⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 15cm, angle = 67°. Give your answer to 2 decimal places
Answer: 158.79cm²
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4.
Ratio
a:b is 7:9 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 14:18:45
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5.
Statistics
Find the mean, median and range of: 27, 10, 96, 82, 84, 47, 99. Give your answer to 2 decimal places
Answer: Mean = 63.57, Median = 82, Range = 89
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1.
Number
Simplify: 3√80
Answer: 12√5
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2.
Algebra
Complete the square: 5x² - 30x - 11
Answer: 5(x - 3)² - 56
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3.
Geometry
Find area of triangle: a = 26cm, b = 13cm, angle = 71°. Give your answer to 2 decimal places
Answer: 159.79cm²
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4.
Ratio
a:b is 3:5 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 18:30:5
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5.
Statistics
Find the mean, median and range of: 92, 26, 72, 90, 68, 23, 15, 95, 30. Give your answer to 2 decimal places
Answer: Mean = 56.78, Median = 68, Range = 80
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1.
Number
Simplify: √375
Answer: 5√15
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2.
Algebra
Complete the square: 2x² - 16x - 9
Answer: 2(x - 4)² - 41
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3.
Geometry
Find area of triangle: a = 29cm, b = 26cm, angle = 44°. Give your answer to 2 decimal places
Answer: 261.89cm²
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4.
Ratio
a:b is 3:7 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 6:14:35
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5.
Statistics
Find the mean, median and range of: 11, 18, 27, 23, 22, 89, 71, 84. Give your answer to 2 decimal places
Answer: Mean = 43.13, Median = 25, Range = 78
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1.
Number
Simplify: √176
Answer: 4√11
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2.
Algebra
Complete the square: x² + 5x + 11
Answer: (x + 5⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 21cm, angle = 74°. Give your answer to 2 decimal places
Answer: 242.24cm²
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4.
Ratio
a:b is 2:5 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 8:20:45
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5.
Statistics
Find the mean, median and range of: 24, 95, 68, 23, 73, 37, 16, 23. Give your answer to 2 decimal places
Answer: Mean = 44.88, Median = 30.5, Range = 79