Change pack
Capstone
Jul 26 - Aug 1
25 questions
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: x² + 6x
Answer: (x + 3)² - 9
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3.
Geometry
Find area of triangle: a = 13cm, b = 17cm, angle = 74°
Answer: 106.2cm²
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4.
Ratio
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 4:2:4
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5.
Statistics
Find the mean, median and range of: 42, 75, 29, 84, 41, 56, 42
Answer: Mean = 52.7, Median = 42, Range = 55
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: x² + 4.4x
Answer: (x + 2.2)² - 4.84
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3.
Geometry
Find area of triangle: a = 13cm, b = 19cm, angle = 54°
Answer: 99.9cm²
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4.
Ratio
a:b is 4:3 and b:c is 3:5. Find a:b:c.
Answer: 4:3:5
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5.
Statistics
Find the mean, median and range of: 26, 68, 58, 83, 27, 31, 99
Answer: Mean = 56, Median = 58, Range = 73
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1.
Number
Simplify: √200
Answer: 10√2
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2.
Algebra
Complete the square: x² + 3.6x
Answer: (x + 1.8)² - 3.24
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3.
Geometry
Find area of triangle: a = 12cm, b = 30cm, angle = 78°
Answer: 176.cm²
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4.
Ratio
a:b is 2:1 and b:c is 2:5. Find a:b:c.
Answer: 4:2:5
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5.
Statistics
Find the mean, median and range of: 87, 61, 28, 96, 19, 25, 59, 39
Answer: Mean = 51.8, Median = 59, Range = 77
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: x² + 2.8x
Answer: (x + 1.4)² - 1.96
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3.
Geometry
Find area of triangle: a = 18cm, b = 29cm, angle = 41°
Answer: 171.2cm²
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4.
Ratio
a:b is 1:2 and b:c is 1:2. Find a:b:c.
Answer: 6:12:24
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5.
Statistics
Find the mean, median and range of: 30, 19, 63, 15, 20, 86, 93
Answer: Mean = 46.6, Median = 30, Range = 78
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1.
Number
Simplify: √242
Answer: 11√2
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2.
Algebra
Complete the square: x² + 5.6x
Answer: (x + 2.8)² - 7.84
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3.
Geometry
Find area of triangle: a = 27cm, b = 18cm, angle = 65°
Answer: 220.2cm²
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4.
Ratio
a:b is 1:2 and b:c is 3:5. Find a:b:c.
Answer: 6:12:20
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5.
Statistics
Find the mean, median and range of: 42, 50, 80, 52, 72, 30, 81, 40, 59
Answer: Mean = 56.2, Median = 52, Range = 51