Change pack
Capstone
May 14 - 20
25 questions
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1.
Number
Simplify: √350
Answer: 5√14
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2.
Algebra
Complete the square: x² + 9x + 2
Answer: (x + 9⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 25cm, angle = 65°. Give your answer to 2 decimal places
Answer: 328.54cm²
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4.
Ratio
a:b is 2:9 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 14:63:72
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5.
Statistics
Find the mean, median and range of: 82, 73, 51, 22, 58, 17, 72. Give your answer to 2 decimal places
Answer: Mean = 53.57, Median = 58, Range = 65
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1.
Number
Simplify: √304
Answer: 4√19
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2.
Algebra
Complete the square: x² - 3x + 8
Answer: (x - 3⁄2)² + 23⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 19cm, angle = 59°. Give your answer to 2 decimal places
Answer: 154.72cm²
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4.
Ratio
a:b is 5:2 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 45:18:2
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5.
Statistics
Find the mean, median and range of: 44, 40, 63, 24, 59, 78, 37, 63, 64. Give your answer to 2 decimal places
Answer: Mean = 52.44, Median = 59, Range = 54
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1.
Number
Simplify: 4√275
Answer: 20√11
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2.
Algebra
Complete the square: x² + 7x + 9
Answer: (x + 7⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 23cm, angle = 40°. Give your answer to 2 decimal places
Answer: 221.76cm²
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4.
Ratio
a:b is 3:5 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 27:45:20
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5.
Statistics
Find the mean, median and range of: 20, 19, 95, 35, 94, 32, 23, 24, 57. Give your answer to 2 decimal places
Answer: Mean = 44.33, Median = 32, Range = 76
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: x² - 9x - 7
Answer: (x - 9⁄2)² - 109⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 28cm, angle = 72°. Give your answer to 2 decimal places
Answer: 359.5cm²
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4.
Ratio
a:b is 4:5 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 8:10:45
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5.
Statistics
Find the mean, median and range of: 19, 88, 39, 10, 10, 61, 95, 11. Give your answer to 2 decimal places
Answer: Mean = 41.63, Median = 29, Range = 85
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1.
Number
Simplify: √250
Answer: 5√10
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2.
Algebra
Complete the square: x² - 5x + 1
Answer: (x - 5⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 22cm, angle = 79°. Give your answer to 2 decimal places
Answer: 194.36cm²
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4.
Ratio
a:b is 7:2 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 35:10:14
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5.
Statistics
Find the mean, median and range of: 96, 59, 75, 25, 18, 63, 33, 77
Answer: Mean = 55.75, Median = 61, Range = 78