Change pack
Capstone
May 24 - 30
25 questions
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1.
Number
Simplify: √325
Answer: 5√13
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2.
Algebra
Complete the square: 2x² - 24x + 4
Answer: 2(x - 6)² - 68
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3.
Geometry
Find area of triangle: a = 17cm, b = 24cm, angle = 59°. Give your answer to 2 decimal places
Answer: 174.86cm²
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4.
Ratio
a:b is 1:5 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 4:20:35
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5.
Statistics
Find the mean, median and range of: 81, 42, 56, 61, 48, 67, 89. Give your answer to 2 decimal places
Answer: Mean = 63.43, Median = 61, Range = 47
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1.
Number
Simplify: √468
Answer: 6√13
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2.
Algebra
Complete the square: x² + 5x + 2
Answer: (x + 5⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 26cm, angle = 80°. Give your answer to 2 decimal places
Answer: 230.45cm²
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4.
Ratio
a:b is 7:9 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 14:18:27
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5.
Statistics
Find the mean, median and range of: 24, 12, 55, 69, 36, 28, 59, 65
Answer: Mean = 43.5, Median = 45.5, Range = 57
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1.
Number
Simplify: 2√54
Answer: 6√6
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2.
Algebra
Complete the square: 3x² + 24x - 11
Answer: 3(x + 4)² - 59
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3.
Geometry
Find area of triangle: a = 24cm, b = 24cm, angle = 78°. Give your answer to 2 decimal places
Answer: 281.71cm²
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4.
Ratio
a:b is 2:3 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 10:15:6
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5.
Statistics
Find the mean, median and range of: 52, 65, 28, 51, 14, 30, 64, 13. Give your answer to 2 decimal places
Answer: Mean = 39.63, Median = 40.5, Range = 52
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: x² + 5x - 2
Answer: (x + 5⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 16cm, angle = 41°. Give your answer to 2 decimal places
Answer: 120.71cm²
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4.
Ratio
a:b is 2:5 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 6:15:35
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5.
Statistics
Find the mean, median and range of: 39, 91, 32, 58, 59, 11, 14, 98
Answer: Mean = 50.25, Median = 48.5, Range = 87
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1.
Number
Simplify: 3√44
Answer: 6√11
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2.
Algebra
Complete the square: x² - 9x - 3
Answer: (x - 9⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 28cm, angle = 64°. Give your answer to 2 decimal places
Answer: 213.91cm²
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4.
Ratio
a:b is 5:4 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 25:20:12
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5.
Statistics
Find the mean, median and range of: 96, 33, 50, 29, 74, 74, 88, 98, 75. Give your answer to 2 decimal places
Answer: Mean = 68.56, Median = 74, Range = 69