Change pack
Capstone
Aug 20 - 26
25 questions
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1.
Number
Simplify: √224
Answer: 4√14
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2.
Algebra
Complete the square: 5x² + 60x - 14
Answer: 5(x + 6)² - 194
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3.
Geometry
Find area of triangle: a = 16cm, b = 23cm, angle = 75°. Give your answer to 2 decimal places
Answer: 177.73cm²
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4.
Ratio
a:b is 3:8 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 21:56:72
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5.
Statistics
Find the mean, median and range of: 36, 16, 76, 13, 74, 14, 63, 44
Answer: Mean = 42, Median = 40, Range = 63
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1.
Number
Simplify: √50
Answer: 5√2
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2.
Algebra
Complete the square: x² + 9x - 11
Answer: (x + 9⁄2)² - 125⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 19cm, angle = 41°. Give your answer to 2 decimal places
Answer: 168.28cm²
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4.
Ratio
a:b is 1:5 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 9:45:20
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5.
Statistics
Find the mean, median and range of: 54, 56, 86, 95, 69, 54, 56. Give your answer to 2 decimal places
Answer: Mean = 67.14, Median = 56, Range = 41
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1.
Number
Simplify: 2√54
Answer: 6√6
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2.
Algebra
Complete the square: x² + 3x - 8
Answer: (x + 3⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 30cm, angle = 52°. Give your answer to 2 decimal places
Answer: 141.84cm²
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4.
Ratio
a:b is 4:5 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 12:15:35
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5.
Statistics
Find the mean, median and range of: 38, 72, 39, 48, 39, 100, 11, 74. Give your answer to 2 decimal places
Answer: Mean = 52.63, Median = 43.5, Range = 89
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: 2x² + 8x - 6
Answer: 2(x + 2)² - 14
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3.
Geometry
Find area of triangle: a = 22cm, b = 16cm, angle = 47°. Give your answer to 2 decimal places
Answer: 128.72cm²
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4.
Ratio
a:b is 1:9 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 4:36:63
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5.
Statistics
Find the mean, median and range of: 33, 28, 84, 81, 70, 22, 46
Answer: Mean = 52, Median = 46, Range = 62
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1.
Number
Simplify: √432
Answer: 12√3
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2.
Algebra
Complete the square: 5x² + 40x + 15
Answer: 5(x + 4)² - 65
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3.
Geometry
Find area of triangle: a = 16cm, b = 12cm, angle = 78°. Give your answer to 2 decimal places
Answer: 93.9cm²
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4.
Ratio
a:b is 3:8 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 9:24:4
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5.
Statistics
Find the mean, median and range of: 54, 74, 44, 48, 26, 32, 72
Answer: Mean = 50, Median = 48, Range = 48