Change pack
Capstone
Feb 23 - Mar 1
25 questions
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1.
Number
Simplify: √960
Answer: 8√15
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2.
Algebra
Complete the square: x² + 7x - 6
Answer: (x + 7⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 13cm, angle = 72°. Give your answer to 2 decimal places
Answer: 123.64cm²
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4.
Ratio
a:b is 5:9 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 10:18:3
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5.
Statistics
Find the mean, median and range of: 69, 58, 31, 52, 44, 31, 90, 27
Answer: Mean = 50.25, Median = 48, Range = 63
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1.
Number
Simplify: √726
Answer: 11√6
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2.
Algebra
Complete the square: 5x² - 10x - 15
Answer: 5(x - 1)² - 20
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3.
Geometry
Find area of triangle: a = 28cm, b = 29cm, angle = 64°. Give your answer to 2 decimal places
Answer: 364.91cm²
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4.
Ratio
a:b is 1:3 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 2:6:9
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5.
Statistics
Find the mean, median and range of: 41, 81, 13, 58, 28, 76, 80, 16, 80. Give your answer to 2 decimal places
Answer: Mean = 52.56, Median = 58, Range = 68
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1.
Number
Simplify: √96
Answer: 4√6
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2.
Algebra
Complete the square: x² - 9x - 8
Answer: (x - 9⁄2)² - 113⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 12cm, angle = 42°. Give your answer to 2 decimal places
Answer: 92.34cm²
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4.
Ratio
a:b is 7:9 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 35:45:18
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5.
Statistics
Find the mean, median and range of: 66, 28, 62, 53, 40, 66, 94. Give your answer to 2 decimal places
Answer: Mean = 58.43, Median = 62, Range = 66
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: 4x² + 40x - 9
Answer: 4(x + 5)² - 109
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3.
Geometry
Find area of triangle: a = 20cm, b = 29cm, angle = 70°. Give your answer to 2 decimal places
Answer: 272.51cm²
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4.
Ratio
a:b is 8:3 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 40:15:9
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5.
Statistics
Find the mean, median and range of: 77, 20, 89, 43, 40, 52, 58, 41
Answer: Mean = 52.5, Median = 47.5, Range = 69
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: x² + 3x - 8
Answer: (x + 3⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 17cm, angle = 75°. Give your answer to 2 decimal places
Answer: 188.84cm²
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4.
Ratio
a:b is 1:3 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 8:24:21
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5.
Statistics
Find the mean, median and range of: 14, 75, 64, 51, 29, 42, 93, 90, 67. Give your answer to 2 decimal places
Answer: Mean = 58.33, Median = 64, Range = 79