Change pack
Capstone
Aug 22 - 28
25 questions
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: x² - 11x + 7
Answer: (x - 11⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 24cm, angle = 65°. Give your answer to 2 decimal places
Answer: 152.26cm²
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4.
Ratio
a:b is 3:4 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 15:20:28
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5.
Statistics
Find the mean, median and range of: 40, 62, 90, 35, 51, 82, 43, 77, 23. Give your answer to 2 decimal places
Answer: Mean = 55.89, Median = 51, Range = 67
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: x² + 5x + 8
Answer: (x + 5⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 28cm, angle = 72°. Give your answer to 2 decimal places
Answer: 226.35cm²
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4.
Ratio
a:b is 1:8 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 3:24:4
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5.
Statistics
Find the mean, median and range of: 53, 87, 74, 11, 45, 58, 100, 43. Give your answer to 2 decimal places
Answer: Mean = 58.88, Median = 55.5, Range = 89
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: x² - 3x - 6
Answer: (x - 3⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 19cm, angle = 55°. Give your answer to 2 decimal places
Answer: 233.46cm²
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4.
Ratio
a:b is 4:3 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 16:12:3
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5.
Statistics
Find the mean, median and range of: 86, 86, 51, 39, 99, 30, 16, 59
Answer: Mean = 58.25, Median = 55, Range = 83
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1.
Number
Simplify: 5√80
Answer: 20√5
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2.
Algebra
Complete the square: 3x² + 12x - 11
Answer: 3(x + 2)² - 23
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3.
Geometry
Find area of triangle: a = 24cm, b = 23cm, angle = 58°. Give your answer to 2 decimal places
Answer: 234.06cm²
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4.
Ratio
a:b is 7:9 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 56:72:27
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5.
Statistics
Find the mean, median and range of: 66, 19, 22, 71, 82, 88, 14, 13. Give your answer to 2 decimal places
Answer: Mean = 46.88, Median = 44, Range = 75
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1.
Number
Simplify: 5√8
Answer: 10√2
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2.
Algebra
Complete the square: 2x² - 4x - 3
Answer: 2(x - 1)² - 5
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3.
Geometry
Find area of triangle: a = 24cm, b = 21cm, angle = 45°. Give your answer to 2 decimal places
Answer: 178.19cm²
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4.
Ratio
a:b is 8:3 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 56:21:15
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5.
Statistics
Find the mean, median and range of: 29, 76, 93, 68, 35, 86, 95. Give your answer to 2 decimal places
Answer: Mean = 68.86, Median = 76, Range = 66