Change pack
Capstone
Nov 17 - 23
25 questions
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: 5x² - 40x - 12
Answer: 5(x - 4)² - 92
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3.
Geometry
Find area of triangle: a = 27cm, b = 14cm, angle = 63°. Give your answer to 2 decimal places
Answer: 168.4cm²
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4.
Ratio
a:b is 5:9 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 25:45:36
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5.
Statistics
Find the mean, median and range of: 17, 19, 33, 29, 15, 74, 17, 44
Answer: Mean = 31, Median = 24, Range = 59
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1.
Number
Simplify: √686
Answer: 7√14
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2.
Algebra
Complete the square: x² + 9x - 6
Answer: (x + 9⁄2)² - 105⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 21cm, angle = 56°. Give your answer to 2 decimal places
Answer: 147.98cm²
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4.
Ratio
a:b is 4:3 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 16:12:27
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5.
Statistics
Find the mean, median and range of: 14, 12, 81, 80, 54, 58, 32, 76, 59. Give your answer to 2 decimal places
Answer: Mean = 51.78, Median = 58, Range = 69
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: x² - 5x - 9
Answer: (x - 5⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 19cm, angle = 44°. Give your answer to 2 decimal places
Answer: 158.38cm²
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4.
Ratio
a:b is 8:9 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 32:36:9
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5.
Statistics
Find the mean, median and range of: 21, 26, 25, 71, 22, 35, 50. Give your answer to 2 decimal places
Answer: Mean = 35.71, Median = 26, Range = 50
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: 3x² - 12x + 4
Answer: 3(x - 2)² - 8
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3.
Geometry
Find area of triangle: a = 17cm, b = 15cm, angle = 52°. Give your answer to 2 decimal places
Answer: 100.47cm²
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4.
Ratio
a:b is 1:2 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 5:10:4
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5.
Statistics
Find the mean, median and range of: 11, 15, 64, 65, 59, 34, 12, 74
Answer: Mean = 41.75, Median = 46.5, Range = 63
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: x² + 3x - 11
Answer: (x + 3⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 16cm, angle = 60°. Give your answer to 2 decimal places
Answer: 138.56cm²
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4.
Ratio
a:b is 1:8 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 5:40:16
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5.
Statistics
Find the mean, median and range of: 22, 47, 55, 84, 30, 49, 72. Give your answer to 2 decimal places
Answer: Mean = 51.29, Median = 49, Range = 62