Change pack
Capstone
Mar 28 - Apr 3
25 questions
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: x² + 9x + 3
Answer: (x + 9⁄2)² - 69⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 23cm, angle = 63°. Give your answer to 2 decimal places
Answer: 174.19cm²
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4.
Ratio
a:b is 7:9 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 49:63:36
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5.
Statistics
Find the mean, median and range of: 48, 52, 87, 99, 95, 40, 86, 28, 68
Answer: Mean = 67, Median = 68, Range = 71
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1.
Number
Simplify: √245
Answer: 7√5
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2.
Algebra
Complete the square: 2x² + 4x - 8
Answer: 2(x + 1)² - 10
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3.
Geometry
Find area of triangle: a = 21cm, b = 17cm, angle = 76°. Give your answer to 2 decimal places
Answer: 173.2cm²
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4.
Ratio
a:b is 8:7 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 40:35:28
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5.
Statistics
Find the mean, median and range of: 29, 82, 10, 54, 27, 49, 48, 47, 20. Give your answer to 2 decimal places
Answer: Mean = 40.67, Median = 47, Range = 72
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: x² - x - 7
Answer: (x - 1⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 30cm, angle = 59°. Give your answer to 2 decimal places
Answer: 167.15cm²
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4.
Ratio
a:b is 2:9 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 14:63:9
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5.
Statistics
Find the mean, median and range of: 20, 47, 19, 83, 28, 47, 36, 14, 18. Give your answer to 2 decimal places
Answer: Mean = 34.67, Median = 28, Range = 69
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1.
Number
Simplify: √640
Answer: 8√10
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2.
Algebra
Complete the square: x² - 7x - 8
Answer: (x - 7⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 15cm, angle = 63°. Give your answer to 2 decimal places
Answer: 93.56cm²
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4.
Ratio
a:b is 2:5 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 18:45:35
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5.
Statistics
Find the mean, median and range of: 29, 100, 52, 87, 36, 77, 58, 73, 93. Give your answer to 2 decimal places
Answer: Mean = 67.22, Median = 73, Range = 71
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1.
Number
Simplify: √448
Answer: 8√7
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2.
Algebra
Complete the square: x² - x + 8
Answer: (x - 1⁄2)² + 31⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 28cm, angle = 40°. Give your answer to 2 decimal places
Answer: 251.97cm²
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4.
Ratio
a:b is 5:4 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 15:12:28
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5.
Statistics
Find the mean, median and range of: 69, 86, 61, 93, 77, 46, 31, 61
Answer: Mean = 65.5, Median = 65, Range = 62