Change pack
Capstone
Feb 3 - 9
25 questions
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1.
Number
Simplify: 2√12
Answer: 4√3
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2.
Algebra
Complete the square: x² - x - 12
Answer: (x - 1⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 15cm, angle = 80°. Give your answer to 2 decimal places
Answer: 199.42cm²
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4.
Ratio
a:b is 4:9 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 32:72:81
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5.
Statistics
Find the mean, median and range of: 58, 37, 80, 57, 67, 26, 82, 91
Answer: Mean = 62.25, Median = 62.5, Range = 65
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1.
Number
Simplify: √125
Answer: 5√5
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2.
Algebra
Complete the square: x² + 11x - 12
Answer: (x + 11⁄2)² - 169⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 28cm, angle = 45°. Give your answer to 2 decimal places
Answer: 178.19cm²
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4.
Ratio
a:b is 4:9 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 32:72:45
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5.
Statistics
Find the mean, median and range of: 41, 51, 65, 37, 85, 53, 30. Give your answer to 2 decimal places
Answer: Mean = 51.71, Median = 51, Range = 55
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1.
Number
Simplify: √847
Answer: 11√7
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2.
Algebra
Complete the square: x² + 9x + 7
Answer: (x + 9⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 27cm, angle = 68°. Give your answer to 2 decimal places
Answer: 350.48cm²
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4.
Ratio
a:b is 5:9 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 35:63:81
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5.
Statistics
Find the mean, median and range of: 79, 14, 15, 18, 55, 11, 76, 90, 52. Give your answer to 2 decimal places
Answer: Mean = 45.56, Median = 52, Range = 79
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: x² + 7x - 2
Answer: (x + 7⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 17cm, angle = 58°. Give your answer to 2 decimal places
Answer: 158.58cm²
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4.
Ratio
a:b is 1:5 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 7:35:15
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5.
Statistics
Find the mean, median and range of: 79, 99, 34, 17, 99, 29, 89, 22
Answer: Mean = 58.5, Median = 56.5, Range = 82
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1.
Number
Simplify: 3√28
Answer: 6√7
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2.
Algebra
Complete the square: 3x² - 24x - 6
Answer: 3(x - 4)² - 54
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3.
Geometry
Find area of triangle: a = 20cm, b = 13cm, angle = 55°. Give your answer to 2 decimal places
Answer: 106.49cm²
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4.
Ratio
a:b is 9:5 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 81:45:25
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5.
Statistics
Find the mean, median and range of: 45, 46, 54, 37, 79, 11, 68. Give your answer to 2 decimal places
Answer: Mean = 48.57, Median = 46, Range = 68