Change pack
Capstone
Sep 14 - 20
25 questions
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1.
Number
Simplify: √686
Answer: 7√14
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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 = 30cm, b = 28cm, angle = 45°. Give your answer to 2 decimal places
Answer: 296.98cm²
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4.
Ratio
a:b is 7:4 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 21:12:2
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5.
Statistics
Find the mean, median and range of: 79, 25, 88, 26, 49, 18, 69. Give your answer to 2 decimal places
Answer: Mean = 50.57, Median = 49, Range = 70
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: 3x² - 18x + 9
Answer: 3(x - 3)² - 18
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3.
Geometry
Find area of triangle: a = 22cm, b = 21cm, angle = 69°. Give your answer to 2 decimal places
Answer: 215.66cm²
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4.
Ratio
a:b is 5:8 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 45:72:56
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5.
Statistics
Find the mean, median and range of: 79, 71, 95, 38, 46, 58, 50. Give your answer to 2 decimal places
Answer: Mean = 62.43, Median = 58, Range = 57
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1.
Number
Simplify: √500
Answer: 10√5
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2.
Algebra
Complete the square: 5x² + 10x - 2
Answer: 5(x + 1)² - 7
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3.
Geometry
Find area of triangle: a = 17cm, b = 30cm, angle = 76°. Give your answer to 2 decimal places
Answer: 247.43cm²
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4.
Ratio
a:b is 1:6 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 7:42:30
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5.
Statistics
Find the mean, median and range of: 82, 100, 17, 60, 49, 71, 33. Give your answer to 2 decimal places
Answer: Mean = 58.86, Median = 60, Range = 83
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: x² + 5x + 11
Answer: (x + 5⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 14cm, angle = 53°. Give your answer to 2 decimal places
Answer: 89.45cm²
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4.
Ratio
a:b is 2:3 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 16:24:21
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5.
Statistics
Find the mean, median and range of: 41, 77, 51, 68, 74, 77, 51, 38, 82. Give your answer to 2 decimal places
Answer: Mean = 62.11, Median = 68, Range = 44
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: x² + x + 1
Answer: (x + 1⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 28cm, angle = 54°. Give your answer to 2 decimal places
Answer: 226.52cm²
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4.
Ratio
a:b is 1:6 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 2:12:27
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5.
Statistics
Find the mean, median and range of: 53, 79, 31, 38, 35, 40, 87, 99, 26. Give your answer to 2 decimal places
Answer: Mean = 54.22, Median = 40, Range = 73