Change pack
Capstone
Aug 30 - Sep 5
25 questions
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1.
Number
Simplify: √75
Answer: 5√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 = 19cm, b = 15cm, angle = 65°
Answer: 129.cm²
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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: 86, 32, 37, 10, 37, 30, 69, 23
Answer: Mean = 40.5, Median = 37, Range = 76
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: x² + 4x
Answer: (x + 2)² - 4
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3.
Geometry
Find area of triangle: a = 20cm, b = 13cm, angle = 60°
Answer: 112.6cm²
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4.
Ratio
a:b is 2:1 and b:c is 1:3. Find a:b:c.
Answer: 4:2:6
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5.
Statistics
Find the mean, median and range of: 20, 13, 58, 22, 31, 57, 38, 97
Answer: Mean = 42, Median = 38, Range = 84
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1.
Number
Simplify: √200
Answer: 10√2
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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 = 17cm, b = 22cm, angle = 67°
Answer: 172.cm²
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4.
Ratio
a:b is 4:3 and b:c is 2:3. Find a:b:c.
Answer: 8:6:9
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5.
Statistics
Find the mean, median and range of: 39, 61, 31, 54, 100, 92, 26, 21
Answer: Mean = 53, Median = 54, Range = 79
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1.
Number
Simplify: √242
Answer: 11√2
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2.
Algebra
Complete the square: x² + 3.4x
Answer: (x + 1.7)² - 2.89
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3.
Geometry
Find area of triangle: a = 15cm, b = 30cm, angle = 50°
Answer: 172.4cm²
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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: 65, 31, 81, 21, 29, 59, 70
Answer: Mean = 50.9, Median = 59, Range = 60
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: x² + 2.6x
Answer: (x + 1.3)² - 1.69
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3.
Geometry
Find area of triangle: a = 25cm, b = 21cm, angle = 74°
Answer: 252.3cm²
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4.
Ratio
a:b is 2:1 and b:c is 4:3. Find a:b:c.
Answer: 8:4:3
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5.
Statistics
Find the mean, median and range of: 54, 16, 18, 15, 22, 75, 33, 19
Answer: Mean = 31.5, Median = 22, Range = 60