Change pack
Capstone
Jun 7 - 13
25 questions
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1.
Number
Simplify: √832
Answer: 8√13
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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 = 20cm, b = 15cm, angle = 63°. Give your answer to 2 decimal places
Answer: 133.65cm²
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4.
Ratio
a:b is 9:8 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 27:24:4
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5.
Statistics
Find the mean, median and range of: 46, 67, 38, 78, 92, 62, 96. Give your answer to 2 decimal places
Answer: Mean = 68.43, Median = 67, Range = 58
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: x² - 3x + 1
Answer: (x - 3⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 18cm, angle = 79°. Give your answer to 2 decimal places
Answer: 167.86cm²
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4.
Ratio
a:b is 2:9 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 10:45:9
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5.
Statistics
Find the mean, median and range of: 44, 10, 99, 81, 50, 47, 10. Give your answer to 2 decimal places
Answer: Mean = 48.71, Median = 47, Range = 89
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: x² - 11x - 7
Answer: (x - 11⁄2)² - 149⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 12cm, angle = 63°. Give your answer to 2 decimal places
Answer: 96.23cm²
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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: 23, 28, 95, 53, 93, 49, 70. Give your answer to 2 decimal places
Answer: Mean = 58.71, Median = 53, Range = 72
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1.
Number
Simplify: √567
Answer: 9√7
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2.
Algebra
Complete the square: 2x² - 20x + 10
Answer: 2(x - 5)² - 40
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3.
Geometry
Find area of triangle: a = 28cm, b = 24cm, angle = 51°. Give your answer to 2 decimal places
Answer: 261.12cm²
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4.
Ratio
a:b is 6:7 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 24:28:63
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5.
Statistics
Find the mean, median and range of: 99, 46, 40, 95, 99, 96, 88, 10, 17. Give your answer to 2 decimal places
Answer: Mean = 65.56, Median = 88, Range = 89
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1.
Number
Simplify: √252
Answer: 6√7
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2.
Algebra
Complete the square: x² - 7x + 9
Answer: (x - 7⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 25cm, angle = 43°. Give your answer to 2 decimal places
Answer: 153.45cm²
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4.
Ratio
a:b is 1:8 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 3:24:64
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5.
Statistics
Find the mean, median and range of: 25, 29, 97, 69, 16, 62, 74, 53, 68. Give your answer to 2 decimal places
Answer: Mean = 54.78, Median = 62, Range = 81