Change pack
Capstone
Dec 21 - 27
25 questions
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1.
Number
Simplify: 2√250
Answer: 10√10
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2.
Algebra
Complete the square: x² - 11x + 3
Answer: (x - 11⁄2)² - 109⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 19cm, angle = 48°. Give your answer to 2 decimal places
Answer: 155.32cm²
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4.
Ratio
a:b is 3:8 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 21:56:48
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5.
Statistics
Find the mean, median and range of: 69, 57, 74, 99, 51, 47, 73. Give your answer to 2 decimal places
Answer: Mean = 67.14, Median = 69, Range = 52
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1.
Number
Simplify: √375
Answer: 5√15
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2.
Algebra
Complete the square: x² + x + 7
Answer: (x + 1⁄2)² + 27⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 21cm, angle = 75°. Give your answer to 2 decimal places
Answer: 283.98cm²
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4.
Ratio
a:b is 9:2 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 27:6:8
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5.
Statistics
Find the mean, median and range of: 25, 84, 44, 84, 13, 34, 46, 24
Answer: Mean = 44.25, Median = 39, Range = 71
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1.
Number
Simplify: 3√45
Answer: 9√5
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2.
Algebra
Complete the square: x² - 11x + 7
Answer: (x - 11⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 30cm, angle = 74°. Give your answer to 2 decimal places
Answer: 273.96cm²
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4.
Ratio
a:b is 5:2 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 35:14:18
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5.
Statistics
Find the mean, median and range of: 12, 49, 43, 11, 12, 62, 98, 85
Answer: Mean = 46.5, Median = 46, Range = 87
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: x² + 5x - 8
Answer: (x + 5⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 25cm, angle = 58°. Give your answer to 2 decimal places
Answer: 148.41cm²
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4.
Ratio
a:b is 9:7 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 18:14:7
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5.
Statistics
Find the mean, median and range of: 63, 68, 18, 23, 81, 45, 22, 85, 90
Answer: Mean = 55, Median = 63, Range = 72
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1.
Number
Simplify: 4√28
Answer: 8√7
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2.
Algebra
Complete the square: x² - 7x + 2
Answer: (x - 7⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 16cm, angle = 40°. Give your answer to 2 decimal places
Answer: 61.71cm²
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4.
Ratio
a:b is 7:6 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 21:18:2
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5.
Statistics
Find the mean, median and range of: 99, 81, 24, 24, 100, 40, 100, 91, 39. Give your answer to 2 decimal places
Answer: Mean = 66.44, Median = 81, Range = 76