Change pack
Capstone
Sep 4 - 10
25 questions
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1.
Number
Simplify: √891
Answer: 9√11
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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 = 26cm, b = 29cm, angle = 40°. Give your answer to 2 decimal places
Answer: 242.33cm²
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4.
Ratio
a:b is 5:9 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 25:45:81
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5.
Statistics
Find the mean, median and range of: 78, 32, 46, 84, 10, 77, 58, 32, 64. Give your answer to 2 decimal places
Answer: Mean = 53.44, Median = 58, Range = 74
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1.
Number
Simplify: √500
Answer: 10√5
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2.
Algebra
Complete the square: x² - 7x + 2
Answer: (x - 7⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 24cm, angle = 44°. Give your answer to 2 decimal places
Answer: 241.74cm²
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4.
Ratio
a:b is 1:4 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 5:20:24
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5.
Statistics
Find the mean, median and range of: 27, 76, 96, 82, 62, 40, 80, 30, 76. Give your answer to 2 decimal places
Answer: Mean = 63.22, Median = 76, Range = 69
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1.
Number
Simplify: 3√150
Answer: 15√6
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2.
Algebra
Complete the square: x² - x + 5
Answer: (x - 1⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 24cm, angle = 41°. Give your answer to 2 decimal places
Answer: 196.82cm²
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4.
Ratio
a:b is 7:6 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 35:30:24
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5.
Statistics
Find the mean, median and range of: 25, 84, 44, 96, 44, 96, 74. Give your answer to 2 decimal places
Answer: Mean = 66.14, Median = 74, Range = 71
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1.
Number
Simplify: 4√44
Answer: 8√11
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2.
Algebra
Complete the square: x² - 3x - 4
Answer: (x - 3⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 18cm, angle = 66°. Give your answer to 2 decimal places
Answer: 221.99cm²
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4.
Ratio
a:b is 3:4 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 21:28:32
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5.
Statistics
Find the mean, median and range of: 32, 14, 94, 76, 26, 88, 50, 50, 52. Give your answer to 2 decimal places
Answer: Mean = 53.56, Median = 50, Range = 80
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: 2x² + 20x - 10
Answer: 2(x + 5)² - 60
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3.
Geometry
Find area of triangle: a = 15cm, b = 25cm, angle = 52°. Give your answer to 2 decimal places
Answer: 147.75cm²
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4.
Ratio
a:b is 6:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 54:45:5
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5.
Statistics
Find the mean, median and range of: 87, 51, 68, 71, 10, 19, 41. Give your answer to 2 decimal places
Answer: Mean = 49.57, Median = 51, Range = 77