Change pack
Capstone
Nov 13 - 19
25 questions
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: x² - 11x + 6
Answer: (x - 11⁄2)² - 97⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 17cm, angle = 72°. Give your answer to 2 decimal places
Answer: 226.35cm²
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4.
Ratio
a:b is 2:7 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 4:14:63
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5.
Statistics
Find the mean, median and range of: 93, 53, 10, 49, 69, 56, 94, 79, 52. Give your answer to 2 decimal places
Answer: Mean = 61.67, Median = 56, Range = 84
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1.
Number
Simplify: 5√12
Answer: 10√3
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2.
Algebra
Complete the square: 2x² - 24x + 12
Answer: 2(x - 6)² - 60
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3.
Geometry
Find area of triangle: a = 17cm, b = 30cm, angle = 47°. Give your answer to 2 decimal places
Answer: 186.5cm²
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4.
Ratio
a:b is 9:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 72:56:35
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5.
Statistics
Find the mean, median and range of: 97, 47, 42, 55, 74, 66, 76, 92. Give your answer to 2 decimal places
Answer: Mean = 68.63, Median = 70, Range = 55
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1.
Number
Simplify: √162
Answer: 9√2
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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 = 18cm, b = 16cm, angle = 67°. Give your answer to 2 decimal places
Answer: 132.55cm²
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4.
Ratio
a:b is 3:4 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 9:12:2
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5.
Statistics
Find the mean, median and range of: 65, 17, 37, 90, 26, 75, 45, 25, 80. Give your answer to 2 decimal places
Answer: Mean = 51.11, Median = 45, Range = 73
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1.
Number
Simplify: 5√112
Answer: 20√7
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2.
Algebra
Complete the square: x² + 3x + 5
Answer: (x + 3⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 28cm, angle = 60°. Give your answer to 2 decimal places
Answer: 363.73cm²
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4.
Ratio
a:b is 3:8 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 15:40:16
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5.
Statistics
Find the mean, median and range of: 14, 69, 79, 99, 16, 37, 47, 86, 97. Give your answer to 2 decimal places
Answer: Mean = 60.44, Median = 69, Range = 85
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: 3x² + 30x - 10
Answer: 3(x + 5)² - 85
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3.
Geometry
Find area of triangle: a = 15cm, b = 28cm, angle = 78°. Give your answer to 2 decimal places
Answer: 205.41cm²
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4.
Ratio
a:b is 5:3 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 10:6:9
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5.
Statistics
Find the mean, median and range of: 44, 67, 41, 51, 30, 19, 23. Give your answer to 2 decimal places
Answer: Mean = 39.29, Median = 41, Range = 48