Change pack
Capstone
May 3 - 9
25 questions
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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 = 20cm, angle = 42°. Give your answer to 2 decimal places
Answer: 167.28cm²
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4.
Ratio
a:b is 7:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 35:45:54
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5.
Statistics
Find the mean, median and range of: 15, 47, 14, 91, 45, 90, 40, 95, 47. Give your answer to 2 decimal places
Answer: Mean = 53.78, Median = 47, Range = 81
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1.
Number
Simplify: √350
Answer: 5√14
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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 = 18cm, b = 28cm, angle = 66°. Give your answer to 2 decimal places
Answer: 230.21cm²
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4.
Ratio
a:b is 5:6 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 10:12:21
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5.
Statistics
Find the mean, median and range of: 36, 32, 95, 35, 65, 91, 67, 24, 41
Answer: Mean = 54, Median = 41, Range = 71
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: x² + 9x + 9
Answer: (x + 9⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 22cm, angle = 77°. Give your answer to 2 decimal places
Answer: 214.36cm²
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4.
Ratio
a:b is 1:2 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 9:18:2
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5.
Statistics
Find the mean, median and range of: 51, 98, 11, 76, 67, 47, 30, 83, 62. Give your answer to 2 decimal places
Answer: Mean = 58.33, Median = 62, Range = 87
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: x² + 7x + 7
Answer: (x + 7⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 12cm, angle = 78°. Give your answer to 2 decimal places
Answer: 152.59cm²
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4.
Ratio
a:b is 9:2 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 45:10:14
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5.
Statistics
Find the mean, median and range of: 29, 30, 77, 50, 98, 57, 48, 98. Give your answer to 2 decimal places
Answer: Mean = 60.88, Median = 53.5, Range = 69
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: x² - 9x + 9
Answer: (x - 9⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 23cm, angle = 62°. Give your answer to 2 decimal places
Answer: 304.62cm²
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4.
Ratio
a:b is 4:3 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 8:6:21
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5.
Statistics
Find the mean, median and range of: 61, 77, 79, 70, 90, 18, 57, 61, 10. Give your answer to 2 decimal places
Answer: Mean = 58.11, Median = 61, Range = 80