Change pack
Capstone
Jul 30 - Aug 5
25 questions
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: 2x² + 16x
Answer: 2(x + 4)² - 32
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3.
Geometry
Find area of triangle: a = 25cm, b = 12cm, angle = 48°. Give your answer to 2 decimal places
Answer: 111.47cm²
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4.
Ratio
a:b is 3:8 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 15:40:24
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5.
Statistics
Find the mean, median and range of: 31, 68, 27, 52, 55, 42, 72, 46, 21
Answer: Mean = 46, Median = 46, Range = 51
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1.
Number
Simplify: 5√250
Answer: 25√10
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2.
Algebra
Complete the square: 2x² + 20x - 5
Answer: 2(x + 5)² - 55
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3.
Geometry
Find area of triangle: a = 14cm, b = 26cm, angle = 75°. Give your answer to 2 decimal places
Answer: 175.8cm²
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4.
Ratio
a:b is 7:6 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 49:42:18
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5.
Statistics
Find the mean, median and range of: 12, 93, 88, 43, 45, 42, 14, 98. Give your answer to 2 decimal places
Answer: Mean = 54.38, Median = 44, Range = 86
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1.
Number
Simplify: √1000
Answer: 10√10
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2.
Algebra
Complete the square: x² + 11x - 1
Answer: (x + 11⁄2)² - 125⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 23cm, angle = 69°. Give your answer to 2 decimal places
Answer: 139.57cm²
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4.
Ratio
a:b is 2:5 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 6:15:20
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5.
Statistics
Find the mean, median and range of: 52, 30, 55, 59, 24, 39, 33, 42
Answer: Mean = 41.75, Median = 40.5, Range = 35
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1.
Number
Simplify: √640
Answer: 8√10
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2.
Algebra
Complete the square: 5x² - 20x + 7
Answer: 5(x - 2)² - 13
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3.
Geometry
Find area of triangle: a = 30cm, b = 18cm, angle = 46°. Give your answer to 2 decimal places
Answer: 194.22cm²
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4.
Ratio
a:b is 5:6 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 25:30:6
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5.
Statistics
Find the mean, median and range of: 55, 59, 100, 82, 35, 75, 95. Give your answer to 2 decimal places
Answer: Mean = 71.57, Median = 75, Range = 65
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1.
Number
Simplify: 3√80
Answer: 12√5
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2.
Algebra
Complete the square: 4x² - 32x - 4
Answer: 4(x - 4)² - 68
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3.
Geometry
Find area of triangle: a = 19cm, b = 19cm, angle = 62°. Give your answer to 2 decimal places
Answer: 159.37cm²
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4.
Ratio
a:b is 3:5 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 27:45:10
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5.
Statistics
Find the mean, median and range of: 30, 13, 44, 13, 25, 52, 65, 35, 95. Give your answer to 2 decimal places
Answer: Mean = 41.33, Median = 35, Range = 82