Change pack
Capstone
Jun 18 - 24
25 questions
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: 4x² - 24x + 1
Answer: 4(x - 3)² - 35
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3.
Geometry
Find area of triangle: a = 16cm, b = 15cm, angle = 77°. Give your answer to 2 decimal places
Answer: 116.92cm²
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4.
Ratio
a:b is 3:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 27:45:5
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5.
Statistics
Find the mean, median and range of: 89, 71, 13, 93, 35, 42, 90. Give your answer to 2 decimal places
Answer: Mean = 61.86, Median = 71, Range = 80
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1.
Number
Simplify: √80
Answer: 4√5
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2.
Algebra
Complete the square: 2x² - 4x
Answer: 2(x - 1)² - 2
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3.
Geometry
Find area of triangle: a = 12cm, b = 21cm, angle = 45°. Give your answer to 2 decimal places
Answer: 89.cm²
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4.
Ratio
a:b is 5:7 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 10:14:7
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5.
Statistics
Find the mean, median and range of: 73, 89, 25, 91, 36, 30, 63, 81
Answer: Mean = 61, Median = 68, Range = 66
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1.
Number
Simplify: √405
Answer: 9√5
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2.
Algebra
Complete the square: x² - 5x - 12
Answer: (x - 5⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 15cm, angle = 66°. Give your answer to 2 decimal places
Answer: 171.29cm²
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4.
Ratio
a:b is 4:5 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 16:20:35
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5.
Statistics
Find the mean, median and range of: 51, 80, 36, 41, 77, 65, 40. Give your answer to 2 decimal places
Answer: Mean = 55.71, Median = 51, Range = 44
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1.
Number
Simplify: √224
Answer: 4√14
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2.
Algebra
Complete the square: 5x² - 50x + 9
Answer: 5(x - 5)² - 116
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3.
Geometry
Find area of triangle: a = 16cm, b = 14cm, angle = 50°. Give your answer to 2 decimal places
Answer: 85.8cm²
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4.
Ratio
a:b is 9:2 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 27:6:14
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5.
Statistics
Find the mean, median and range of: 76, 83, 68, 88, 96, 80, 80. Give your answer to 2 decimal places
Answer: Mean = 81.57, Median = 80, Range = 28
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1.
Number
Simplify: √605
Answer: 11√5
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2.
Algebra
Complete the square: x² + 11x + 5
Answer: (x + 11⁄2)² - 101⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 17cm, angle = 67°. Give your answer to 2 decimal places
Answer: 133.01cm²
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4.
Ratio
a:b is 7:3 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 49:21:27
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5.
Statistics
Find the mean, median and range of: 29, 59, 16, 33, 14, 77, 95, 50, 75. Give your answer to 2 decimal places
Answer: Mean = 49.78, Median = 50, Range = 81