Change pack
Capstone
Dec 26 - Jan 1
25 questions
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: 5x² - 40x + 5
Answer: 5(x - 4)² - 75
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3.
Geometry
Find area of triangle: a = 29cm, b = 21cm, angle = 79°. Give your answer to 2 decimal places
Answer: 298.91cm²
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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: 97, 76, 87, 80, 11, 25, 83, 48. Give your answer to 2 decimal places
Answer: Mean = 63.38, Median = 78, Range = 86
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1.
Number
Simplify: 2√50
Answer: 10√2
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2.
Algebra
Complete the square: x² + 11x - 5
Answer: (x + 11⁄2)² - 141⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 16cm, angle = 43°. Give your answer to 2 decimal places
Answer: 163.68cm²
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4.
Ratio
a:b is 8:3 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 40:15:18
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5.
Statistics
Find the mean, median and range of: 37, 46, 13, 42, 82, 23, 96, 64, 30. Give your answer to 2 decimal places
Answer: Mean = 48.11, Median = 42, Range = 83
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1.
Number
Simplify: 3√48
Answer: 12√3
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2.
Algebra
Complete the square: x² + 7x - 4
Answer: (x + 7⁄2)² - 65⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 13cm, angle = 40°. Give your answer to 2 decimal places
Answer: 116.99cm²
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4.
Ratio
a:b is 7:6 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 28:24:9
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5.
Statistics
Find the mean, median and range of: 21, 26, 56, 41, 63, 35, 97, 49, 31. Give your answer to 2 decimal places
Answer: Mean = 46.56, Median = 41, Range = 76
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: x² + 11x + 10
Answer: (x + 11⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 21cm, angle = 55°. Give your answer to 2 decimal places
Answer: 163.42cm²
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4.
Ratio
a:b is 9:8 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 27:24:56
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5.
Statistics
Find the mean, median and range of: 94, 12, 94, 38, 65, 14, 95. Give your answer to 2 decimal places
Answer: Mean = 58.86, Median = 65, Range = 83
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1.
Number
Simplify: √396
Answer: 6√11
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2.
Algebra
Complete the square: 3x² + 24x - 9
Answer: 3(x + 4)² - 57
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3.
Geometry
Find area of triangle: a = 28cm, b = 17cm, angle = 63°. Give your answer to 2 decimal places
Answer: 212.06cm²
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4.
Ratio
a:b is 7:8 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 63:72:8
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5.
Statistics
Find the mean, median and range of: 75, 28, 61, 53, 16, 49, 42, 49, 44. Give your answer to 2 decimal places
Answer: Mean = 46.33, Median = 49, Range = 59