Change pack
Capstone
Feb 4 - 10
25 questions
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1.
Number
Simplify: 2√275
Answer: 10√11
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2.
Algebra
Complete the square: x² + 5x + 2
Answer: (x + 5⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 28cm, angle = 59°. Give your answer to 2 decimal places
Answer: 312.01cm²
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4.
Ratio
a:b is 7:8 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 21:24:8
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5.
Statistics
Find the mean, median and range of: 50, 28, 29, 70, 94, 88, 46. Give your answer to 2 decimal places
Answer: Mean = 57.86, Median = 50, Range = 66
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1.
Number
Simplify: 4√112
Answer: 16√7
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2.
Algebra
Complete the square: x² + 9x + 12
Answer: (x + 9⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 27cm, angle = 60°. Give your answer to 2 decimal places
Answer: 268.9cm²
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4.
Ratio
a:b is 5:4 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 25:20:24
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5.
Statistics
Find the mean, median and range of: 19, 20, 98, 21, 25, 11, 87, 75, 76
Answer: Mean = 48, Median = 25, Range = 87
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1.
Number
Simplify: 4√48
Answer: 16√3
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2.
Algebra
Complete the square: 2x² - 16x - 13
Answer: 2(x - 4)² - 45
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3.
Geometry
Find area of triangle: a = 21cm, b = 17cm, angle = 73°. Give your answer to 2 decimal places
Answer: 170.7cm²
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4.
Ratio
a:b is 3:2 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 21:14:16
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5.
Statistics
Find the mean, median and range of: 94, 63, 52, 53, 46, 82, 87. Give your answer to 2 decimal places
Answer: Mean = 68.14, Median = 63, Range = 48
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1.
Number
Simplify: √250
Answer: 5√10
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2.
Algebra
Complete the square: 4x² + 32x - 8
Answer: 4(x + 4)² - 72
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3.
Geometry
Find area of triangle: a = 21cm, b = 15cm, angle = 43°. Give your answer to 2 decimal places
Answer: 107.41cm²
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4.
Ratio
a:b is 5:2 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 45:18:2
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5.
Statistics
Find the mean, median and range of: 10, 64, 36, 73, 32, 22, 48. Give your answer to 2 decimal places
Answer: Mean = 40.71, Median = 36, Range = 63
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1.
Number
Simplify: 5√176
Answer: 20√11
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2.
Algebra
Complete the square: x² - 3x - 12
Answer: (x - 3⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 12cm, angle = 77°. Give your answer to 2 decimal places
Answer: 128.62cm²
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4.
Ratio
a:b is 7:5 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 63:45:35
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5.
Statistics
Find the mean, median and range of: 44, 83, 68, 10, 89, 14, 15. Give your answer to 2 decimal places
Answer: Mean = 46.14, Median = 44, Range = 79