Change pack
Capstone
Jul 19 - 25
25 questions
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: x² - 11x - 6
Answer: (x - 11⁄2)² - 145⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 20cm, angle = 65°. Give your answer to 2 decimal places
Answer: 181.26cm²
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4.
Ratio
a:b is 1:2 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 5:10:4
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5.
Statistics
Find the mean, median and range of: 52, 81, 21, 55, 20, 26, 29. Give your answer to 2 decimal places
Answer: Mean = 40.57, Median = 29, Range = 61
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1.
Number
Simplify: 5√125
Answer: 25√5
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2.
Algebra
Complete the square: 3x² - 24x - 10
Answer: 3(x - 4)² - 58
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3.
Geometry
Find area of triangle: a = 28cm, b = 28cm, angle = 76°. Give your answer to 2 decimal places
Answer: 380.36cm²
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4.
Ratio
a:b is 1:6 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 5:30:6
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5.
Statistics
Find the mean, median and range of: 50, 54, 97, 51, 74, 93, 77. Give your answer to 2 decimal places
Answer: Mean = 70.86, Median = 74, Range = 47
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1.
Number
Simplify: √396
Answer: 6√11
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2.
Algebra
Complete the square: 5x² + 30x + 5
Answer: 5(x + 3)² - 40
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3.
Geometry
Find area of triangle: a = 21cm, b = 17cm, angle = 54°. Give your answer to 2 decimal places
Answer: 144.41cm²
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4.
Ratio
a:b is 2:7 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 16:56:7
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5.
Statistics
Find the mean, median and range of: 68, 29, 69, 44, 45, 43, 43, 58, 38. Give your answer to 2 decimal places
Answer: Mean = 48.56, Median = 44, Range = 40
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: 2x² - 20x - 8
Answer: 2(x - 5)² - 58
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3.
Geometry
Find area of triangle: a = 29cm, b = 30cm, angle = 71°. Give your answer to 2 decimal places
Answer: 411.3cm²
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4.
Ratio
a:b is 2:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 6:21:49
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5.
Statistics
Find the mean, median and range of: 25, 76, 43, 34, 22, 81, 88, 62. Give your answer to 2 decimal places
Answer: Mean = 53.88, Median = 52.5, Range = 66
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1.
Number
Simplify: 4√12
Answer: 8√3
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2.
Algebra
Complete the square: x² + 9x - 4
Answer: (x + 9⁄2)² - 97⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 12cm, angle = 71°. Give your answer to 2 decimal places
Answer: 153.17cm²
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4.
Ratio
a:b is 6:7 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 30:35:49
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5.
Statistics
Find the mean, median and range of: 72, 75, 46, 60, 13, 81, 80
Answer: Mean = 61, Median = 72, Range = 68