Change pack
Capstone
May 17 - 23
25 questions
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1.
Number
Simplify: √468
Answer: 6√13
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2.
Algebra
Complete the square: x² + 3x - 6
Answer: (x + 3⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 16cm, angle = 48°. Give your answer to 2 decimal places
Answer: 71.34cm²
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4.
Ratio
a:b is 8:9 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 32:36:27
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5.
Statistics
Find the mean, median and range of: 43, 23, 85, 90, 50, 51, 80. Give your answer to 2 decimal places
Answer: Mean = 60.29, Median = 51, Range = 67
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1.
Number
Simplify: 2√18
Answer: 6√2
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2.
Algebra
Complete the square: 5x² - 20x - 3
Answer: 5(x - 2)² - 23
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3.
Geometry
Find area of triangle: a = 28cm, b = 22cm, angle = 74°. Give your answer to 2 decimal places
Answer: 296.07cm²
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4.
Ratio
a:b is 1:8 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 3:24:40
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5.
Statistics
Find the mean, median and range of: 59, 36, 85, 69, 86, 87, 42, 46
Answer: Mean = 63.75, Median = 64, Range = 51
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1.
Number
Simplify: √567
Answer: 9√7
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2.
Algebra
Complete the square: x² - 3x + 5
Answer: (x - 3⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 28cm, angle = 43°. Give your answer to 2 decimal places
Answer: 276.89cm²
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4.
Ratio
a:b is 2:5 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 14:35:25
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5.
Statistics
Find the mean, median and range of: 79, 45, 13, 94, 89, 89, 61, 27. Give your answer to 2 decimal places
Answer: Mean = 62.13, Median = 70, Range = 81
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1.
Number
Simplify: 2√8
Answer: 4√2
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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 = 13cm, b = 27cm, angle = 52°. Give your answer to 2 decimal places
Answer: 138.3cm²
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4.
Ratio
a:b is 8:7 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 64:56:7
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5.
Statistics
Find the mean, median and range of: 66, 34, 66, 13, 92, 97, 29. Give your answer to 2 decimal places
Answer: Mean = 56.71, Median = 66, Range = 84
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: x² + 3x + 9
Answer: (x + 3⁄2)² + 27⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 18cm, angle = 64°. Give your answer to 2 decimal places
Answer: 105.16cm²
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4.
Ratio
a:b is 1:7 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 5:35:49
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5.
Statistics
Find the mean, median and range of: 31, 16, 12, 41, 10, 88, 21. Give your answer to 2 decimal places
Answer: Mean = 31.29, Median = 21, Range = 78