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: x² + 3.2x
Answer: (x + 1.6)² - 2.56
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3.
Geometry
Find area of triangle: a = 27cm, b = 19cm, angle = 57°
Answer: 215.cm²
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4.
Ratio
a:b is 3:2 and b:c is 1:3. Find a:b:c.
Answer: 3:2:6
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5.
Statistics
Find the mean, median and range of: 29, 62, 92, 27, 33, 20, 25
Answer: Mean = 41.1, Median = 29, Range = 72
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: x² + 2.4x
Answer: (x + 1.2)² - 1.44
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3.
Geometry
Find area of triangle: a = 29cm, b = 17cm, angle = 42°
Answer: 164.9cm²
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4.
Ratio
a:b is 3:4 and b:c is 2:3. Find a:b:c.
Answer: 3:4:6
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5.
Statistics
Find the mean, median and range of: 27, 71, 63, 86, 48, 30, 81, 48, 44
Answer: Mean = 55.3, Median = 48, Range = 59
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1.
Number
Simplify: √108
Answer: 6√3
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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 = 24cm, b = 15cm, angle = 65°
Answer: 163.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: 85, 32, 88, 75, 52, 13, 57
Answer: Mean = 57.4, Median = 57, Range = 75
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1.
Number
Simplify: √75
Answer: 5√3
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2.
Algebra
Complete the square: x² + 4.2x
Answer: (x + 2.1)² - 4.41
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3.
Geometry
Find area of triangle: a = 21cm, b = 23cm, angle = 63°
Answer: 215.2cm²
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4.
Ratio
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 9:12:24
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5.
Statistics
Find the mean, median and range of: 17, 72, 55, 44, 88, 61, 10
Answer: Mean = 49.6, Median = 55, Range = 78
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1.
Number
Simplify: √242
Answer: 11√2
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2.
Algebra
Complete the square: x² + 5.2x
Answer: (x + 2.6)² - 6.76
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3.
Geometry
Find area of triangle: a = 13cm, b = 27cm, angle = 62°
Answer: 155cm²
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4.
Ratio
a:b is 3:2 and b:c is 2:3. Find a:b:c.
Answer: 3:2:3
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5.
Statistics
Find the mean, median and range of: 40, 96, 54, 57, 82, 63, 24
Answer: Mean = 59.4, Median = 57, Range = 72