Change pack
Capstone
Aug 4 - 10
25 questions
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1.
Number
Simplify: √325
Answer: 5√13
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2.
Algebra
Complete the square: x² - x
Answer: (x - 1⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 24cm, angle = 65°. Give your answer to 2 decimal places
Answer: 130.51cm²
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4.
Ratio
a:b is 7:8 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 49:56:40
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5.
Statistics
Find the mean, median and range of: 52, 68, 13, 61, 68, 52, 87, 16, 70. Give your answer to 2 decimal places
Answer: Mean = 54.11, Median = 61, Range = 74
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: 2x² - 24x + 9
Answer: 2(x - 6)² - 63
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3.
Geometry
Find area of triangle: a = 12cm, b = 21cm, angle = 80°. Give your answer to 2 decimal places
Answer: 124.09cm²
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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: 81, 85, 18, 80, 58, 36, 39, 75, 54. Give your answer to 2 decimal places
Answer: Mean = 58.44, Median = 58, Range = 67
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1.
Number
Simplify: √396
Answer: 6√11
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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 = 12cm, b = 14cm, angle = 52°. Give your answer to 2 decimal places
Answer: 66.19cm²
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4.
Ratio
a:b is 7:9 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 49:63:27
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5.
Statistics
Find the mean, median and range of: 86, 86, 56, 79, 87, 71, 75, 10
Answer: Mean = 68.75, Median = 77, Range = 77
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1.
Number
Simplify: 2√32
Answer: 8√2
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2.
Algebra
Complete the square: x² - 5x
Answer: (x - 5⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 24cm, angle = 47°. Give your answer to 2 decimal places
Answer: 184.3cm²
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4.
Ratio
a:b is 9:8 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 27:24:8
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5.
Statistics
Find the mean, median and range of: 60, 26, 20, 35, 24, 72, 87, 53. Give your answer to 2 decimal places
Answer: Mean = 47.13, Median = 44, Range = 67
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1.
Number
Simplify: 3√28
Answer: 6√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 = 22cm, b = 23cm, angle = 52°. Give your answer to 2 decimal places
Answer: 199.37cm²
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4.
Ratio
a:b is 9:7 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 36:28:35
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5.
Statistics
Find the mean, median and range of: 26, 89, 17, 10, 49, 45, 90, 12
Answer: Mean = 42.25, Median = 35.5, Range = 80