Change pack
Capstone
Sep 12 - 18
25 questions
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: x² - 3x + 3
Answer: (x - 3⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 19cm, angle = 65°. Give your answer to 2 decimal places
Answer: 154.98cm²
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4.
Ratio
a:b is 4:7 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 32:56:7
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5.
Statistics
Find the mean, median and range of: 96, 50, 65, 35, 33, 19, 49. Give your answer to 2 decimal places
Answer: Mean = 49.57, Median = 49, Range = 77
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1.
Number
Simplify: √540
Answer: 6√15
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2.
Algebra
Complete the square: x² + 7x + 5
Answer: (x + 7⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 29cm, angle = 73°. Give your answer to 2 decimal places
Answer: 415.99cm²
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4.
Ratio
a:b is 1:5 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 9:45:35
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5.
Statistics
Find the mean, median and range of: 51, 71, 49, 99, 67, 10, 43, 76, 46. Give your answer to 2 decimal places
Answer: Mean = 56.89, Median = 51, Range = 89
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1.
Number
Simplify: 4√80
Answer: 16√5
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2.
Algebra
Complete the square: x² + 7x + 8
Answer: (x + 7⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 19cm, angle = 75°. Give your answer to 2 decimal places
Answer: 156cm²
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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: 21, 51, 63, 26, 28, 50, 17, 68
Answer: Mean = 40.5, Median = 39, Range = 51
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: x² + 5x - 9
Answer: (x + 5⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 24cm, angle = 40°. Give your answer to 2 decimal places
Answer: 100.27cm²
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4.
Ratio
a:b is 3:8 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 9:24:32
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5.
Statistics
Find the mean, median and range of: 46, 20, 78, 67, 39, 18, 98. Give your answer to 2 decimal places
Answer: Mean = 52.29, Median = 46, Range = 80
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1.
Number
Simplify: 2√150
Answer: 10√6
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2.
Algebra
Complete the square: 2x² - 20x - 11
Answer: 2(x - 5)² - 61
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3.
Geometry
Find area of triangle: a = 25cm, b = 28cm, angle = 80°. Give your answer to 2 decimal places
Answer: 344.68cm²
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4.
Ratio
a:b is 5:8 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 35:56:8
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5.
Statistics
Find the mean, median and range of: 56, 43, 69, 60, 84, 13, 71, 20, 73. Give your answer to 2 decimal places
Answer: Mean = 54.33, Median = 60, Range = 71