Change pack
Capstone
Oct 17 - 23
25 questions
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1.
Number
Simplify: 2√99
Answer: 6√11
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2.
Algebra
Complete the square: x² - 7x + 10
Answer: (x - 7⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 15cm, angle = 60°. Give your answer to 2 decimal places
Answer: 149.39cm²
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4.
Ratio
a:b is 6:7 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 24:28:49
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5.
Statistics
Find the mean, median and range of: 36, 14, 88, 62, 86, 62, 91, 77, 52. Give your answer to 2 decimal places
Answer: Mean = 63.11, Median = 62, Range = 77
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1.
Number
Simplify: √176
Answer: 4√11
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2.
Algebra
Complete the square: 4x² - 40x - 3
Answer: 4(x - 5)² - 103
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3.
Geometry
Find area of triangle: a = 21cm, b = 27cm, angle = 72°. Give your answer to 2 decimal places
Answer: 269.62cm²
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4.
Ratio
a:b is 4:9 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 32:72:27
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5.
Statistics
Find the mean, median and range of: 45, 89, 97, 73, 48, 52, 50, 13. Give your answer to 2 decimal places
Answer: Mean = 58.38, Median = 51, Range = 84
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1.
Number
Simplify: 2√12
Answer: 4√3
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2.
Algebra
Complete the square: 2x² - 4x - 1
Answer: 2(x - 1)² - 3
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3.
Geometry
Find area of triangle: a = 14cm, b = 15cm, angle = 71°. Give your answer to 2 decimal places
Answer: 99.28cm²
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4.
Ratio
a:b is 6:5 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 12:10:45
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5.
Statistics
Find the mean, median and range of: 88, 17, 76, 67, 52, 68, 95, 22, 74. Give your answer to 2 decimal places
Answer: Mean = 62.11, Median = 68, Range = 78
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: 4x² + 48x + 13
Answer: 4(x + 6)² - 131
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3.
Geometry
Find area of triangle: a = 23cm, b = 16cm, angle = 71°. Give your answer to 2 decimal places
Answer: 173.98cm²
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4.
Ratio
a:b is 1:5 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 8:40:5
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5.
Statistics
Find the mean, median and range of: 93, 43, 83, 39, 53, 39, 36, 66
Answer: Mean = 56.5, Median = 48, Range = 57
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1.
Number
Simplify: 3√28
Answer: 6√7
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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 = 15cm, b = 16cm, angle = 67°. Give your answer to 2 decimal places
Answer: 110.46cm²
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4.
Ratio
a:b is 8:7 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 40:35:7
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5.
Statistics
Find the mean, median and range of: 93, 90, 72, 72, 19, 36, 100, 22, 17. Give your answer to 2 decimal places
Answer: Mean = 57.89, Median = 72, Range = 83