Change pack
Capstone
Mar 19 - 25
25 questions
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: 3x² + 36x - 1
Answer: 3(x + 6)² - 109
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3.
Geometry
Find area of triangle: a = 23cm, b = 12cm, angle = 42°. Give your answer to 2 decimal places
Answer: 92.34cm²
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4.
Ratio
a:b is 1:6 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 3:18:4
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5.
Statistics
Find the mean, median and range of: 57, 89, 90, 83, 61, 34, 28, 93. Give your answer to 2 decimal places
Answer: Mean = 66.88, Median = 72, Range = 65
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: 3x² - 18x + 3
Answer: 3(x - 3)² - 24
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3.
Geometry
Find area of triangle: a = 29cm, b = 19cm, angle = 64°. Give your answer to 2 decimal places
Answer: 247.62cm²
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4.
Ratio
a:b is 2:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 18:45:5
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5.
Statistics
Find the mean, median and range of: 78, 55, 49, 81, 55, 92, 20, 61, 93. Give your answer to 2 decimal places
Answer: Mean = 64.89, Median = 61, Range = 73
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1.
Number
Simplify: √832
Answer: 8√13
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2.
Algebra
Complete the square: x² - 7x - 10
Answer: (x - 7⁄2)² - 89⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 23cm, angle = 43°. Give your answer to 2 decimal places
Answer: 203.92cm²
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4.
Ratio
a:b is 8:3 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 40:15:6
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5.
Statistics
Find the mean, median and range of: 79, 55, 77, 68, 12, 60, 89, 92
Answer: Mean = 66.5, Median = 72.5, Range = 80
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: x² + 7x + 4
Answer: (x + 7⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 24cm, angle = 74°. Give your answer to 2 decimal places
Answer: 276.84cm²
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4.
Ratio
a:b is 9:8 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 45:40:64
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5.
Statistics
Find the mean, median and range of: 84, 21, 74, 88, 75, 55, 31. Give your answer to 2 decimal places
Answer: Mean = 61.14, Median = 74, Range = 67
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1.
Number
Simplify: 2√99
Answer: 6√11
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2.
Algebra
Complete the square: 3x² + 36x - 2
Answer: 3(x + 6)² - 110
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3.
Geometry
Find area of triangle: a = 17cm, b = 20cm, angle = 67°. Give your answer to 2 decimal places
Answer: 156.49cm²
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4.
Ratio
a:b is 1:6 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 7:42:54
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5.
Statistics
Find the mean, median and range of: 78, 11, 42, 28, 50, 50, 20, 19, 11. Give your answer to 2 decimal places
Answer: Mean = 34.33, Median = 28, Range = 67