Change pack
Capstone
May 2 - 8
25 questions
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: x² - x + 9
Answer: (x - 1⁄2)² + 35⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 24cm, angle = 67°. Give your answer to 2 decimal places
Answer: 187.78cm²
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4.
Ratio
a:b is 3:4 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 21:28:36
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5.
Statistics
Find the mean, median and range of: 14, 59, 54, 78, 39, 68, 59, 27, 69. Give your answer to 2 decimal places
Answer: Mean = 51.89, Median = 59, Range = 64
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1.
Number
Simplify: √686
Answer: 7√14
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2.
Algebra
Complete the square: x² - 7x - 5
Answer: (x - 7⁄2)² - 69⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 12cm, angle = 60°. Give your answer to 2 decimal places
Answer: 119.51cm²
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4.
Ratio
a:b is 5:4 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 15:12:10
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5.
Statistics
Find the mean, median and range of: 38, 15, 39, 79, 32, 72, 69, 35, 40. Give your answer to 2 decimal places
Answer: Mean = 46.56, Median = 39, Range = 64
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1.
Number
Simplify: 4√27
Answer: 12√3
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2.
Algebra
Complete the square: x² + x + 3
Answer: (x + 1⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 13cm, angle = 57°. Give your answer to 2 decimal places
Answer: 114.48cm²
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4.
Ratio
a:b is 2:9 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 10:45:9
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5.
Statistics
Find the mean, median and range of: 92, 87, 59, 91, 44, 46, 34, 13, 23. Give your answer to 2 decimal places
Answer: Mean = 54.33, Median = 46, Range = 79
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1.
Number
Simplify: √32
Answer: 4√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 = 17cm, b = 17cm, angle = 46°. Give your answer to 2 decimal places
Answer: 103.94cm²
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4.
Ratio
a:b is 9:4 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 45:20:24
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5.
Statistics
Find the mean, median and range of: 64, 97, 86, 67, 24, 40, 86, 100, 38. Give your answer to 2 decimal places
Answer: Mean = 66.89, Median = 67, Range = 76
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1.
Number
Simplify: √567
Answer: 9√7
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2.
Algebra
Complete the square: 4x² + 8x + 1
Answer: 4(x + 1)² - 3
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3.
Geometry
Find area of triangle: a = 30cm, b = 20cm, angle = 55°. Give your answer to 2 decimal places
Answer: 245.75cm²
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4.
Ratio
a:b is 1:2 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 3:6:10
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5.
Statistics
Find the mean, median and range of: 97, 56, 54, 68, 16, 91, 78, 95. Give your answer to 2 decimal places
Answer: Mean = 69.38, Median = 73, Range = 81