Change pack
Capstone
Sep 19 - 25
25 questions
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: x² - 9x
Answer: (x - 9⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 30cm, angle = 66°. Give your answer to 2 decimal places
Answer: 274.06cm²
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4.
Ratio
a:b is 1:7 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 4:28:35
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5.
Statistics
Find the mean, median and range of: 20, 86, 70, 17, 45, 83, 12, 78. Give your answer to 2 decimal places
Answer: Mean = 51.38, Median = 57.5, Range = 74
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1.
Number
Simplify: √240
Answer: 4√15
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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 = 25cm, b = 13cm, angle = 60°. Give your answer to 2 decimal places
Answer: 140.73cm²
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4.
Ratio
a:b is 4:3 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 28:21:6
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5.
Statistics
Find the mean, median and range of: 68, 45, 84, 73, 47, 28, 31. Give your answer to 2 decimal places
Answer: Mean = 53.71, Median = 47, Range = 56
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1.
Number
Simplify: 2√32
Answer: 8√2
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2.
Algebra
Complete the square: 3x² - 6x - 4
Answer: 3(x - 1)² - 7
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3.
Geometry
Find area of triangle: a = 15cm, b = 15cm, angle = 77°. Give your answer to 2 decimal places
Answer: 109.62cm²
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4.
Ratio
a:b is 6:7 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 12:14:49
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5.
Statistics
Find the mean, median and range of: 93, 76, 89, 51, 57, 17, 34, 20, 73. Give your answer to 2 decimal places
Answer: Mean = 56.67, Median = 57, Range = 76
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: x² + 9x + 12
Answer: (x + 9⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 14cm, angle = 80°. Give your answer to 2 decimal places
Answer: 151.66cm²
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4.
Ratio
a:b is 4:3 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 8:6:27
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5.
Statistics
Find the mean, median and range of: 24, 92, 20, 43, 25, 56, 54, 83. Give your answer to 2 decimal places
Answer: Mean = 49.63, Median = 48.5, Range = 72
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1.
Number
Simplify: 2√96
Answer: 8√6
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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 = 12cm, b = 27cm, angle = 71°. Give your answer to 2 decimal places
Answer: 153.17cm²
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4.
Ratio
a:b is 1:3 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 5:15:9
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5.
Statistics
Find the mean, median and range of: 22, 58, 44, 25, 84, 30, 43. Give your answer to 2 decimal places
Answer: Mean = 43.71, Median = 43, Range = 62