Change pack
Capstone
Mar 28 - Apr 3
25 questions
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: x² + x - 10
Answer: (x + 1⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 14cm, angle = 42°. Give your answer to 2 decimal places
Answer: 88.99cm²
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4.
Ratio
a:b is 3:4 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 9:12:32
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5.
Statistics
Find the mean, median and range of: 79, 31, 72, 83, 59, 40, 28
Answer: Mean = 56, Median = 59, Range = 55
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1.
Number
Simplify: √832
Answer: 8√13
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2.
Algebra
Complete the square: 5x² - 60x - 6
Answer: 5(x - 6)² - 186
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3.
Geometry
Find area of triangle: a = 13cm, b = 27cm, angle = 75°. Give your answer to 2 decimal places
Answer: 169.52cm²
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4.
Ratio
a:b is 6:7 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 30:35:28
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5.
Statistics
Find the mean, median and range of: 80, 52, 39, 79, 92, 65, 64, 56. Give your answer to 2 decimal places
Answer: Mean = 65.88, Median = 64.5, Range = 53
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1.
Number
Simplify: 5√125
Answer: 25√5
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2.
Algebra
Complete the square: x² - 5x + 10
Answer: (x - 5⁄2)² + 15⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 26cm, angle = 55°. Give your answer to 2 decimal places
Answer: 308.82cm²
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4.
Ratio
a:b is 8:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 72:45:5
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5.
Statistics
Find the mean, median and range of: 73, 60, 16, 18, 42, 80, 33, 24, 10. Give your answer to 2 decimal places
Answer: Mean = 39.56, Median = 33, Range = 70
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1.
Number
Simplify: √242
Answer: 11√2
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2.
Algebra
Complete the square: x² + x - 12
Answer: (x + 1⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 17cm, angle = 79°. Give your answer to 2 decimal places
Answer: 191.91cm²
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4.
Ratio
a:b is 2:9 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 10:45:36
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5.
Statistics
Find the mean, median and range of: 41, 62, 43, 92, 84, 16, 86, 79, 88. Give your answer to 2 decimal places
Answer: Mean = 65.67, Median = 79, Range = 76
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1.
Number
Simplify: 4√8
Answer: 8√2
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2.
Algebra
Complete the square: 3x² + 6x + 1
Answer: 3(x + 1)² - 2
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3.
Geometry
Find area of triangle: a = 20cm, b = 20cm, angle = 69°. Give your answer to 2 decimal places
Answer: 186.72cm²
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4.
Ratio
a:b is 2:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 10:45:54
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5.
Statistics
Find the mean, median and range of: 71, 32, 56, 87, 73, 90, 43, 27, 17. Give your answer to 2 decimal places
Answer: Mean = 55.11, Median = 56, Range = 73