Change pack
Capstone
Jul 29 - Aug 4
25 questions
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1.
Number
Simplify: √75
Answer: 5√3
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2.
Algebra
Complete the square: x² + 5.8x
Answer: (x + 2.9)² - 8.41
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3.
Geometry
Find area of triangle: a = 23cm, b = 22cm, angle = 76°
Answer: 245.5cm²
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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: 48, 57, 46, 100, 58, 91, 45, 24
Answer: Mean = 58.6, Median = 57, Range = 76
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: x² + 4.8x
Answer: (x + 2.4)² - 5.76
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3.
Geometry
Find area of triangle: a = 14cm, b = 20cm, angle = 71°
Answer: 132.4cm²
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4.
Ratio
a:b is 4:3 and b:c is 4:5. Find a:b:c.
Answer: 16:12:15
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5.
Statistics
Find the mean, median and range of: 58, 29, 22, 12, 26, 61, 69, 21
Answer: Mean = 37.3, Median = 29, Range = 57
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1.
Number
Simplify: √288
Answer: 12√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 = 13cm, b = 21cm, angle = 47°
Answer: 99.8cm²
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4.
Ratio
a:b is 2:3 and b:c is 3:5. Find a:b:c.
Answer: 2:3:5
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5.
Statistics
Find the mean, median and range of: 73, 41, 40, 59, 29, 25, 72, 77
Answer: Mean = 52, Median = 59, Range = 52
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1.
Number
Simplify: √320
Answer: 8√5
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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 = 29cm, b = 21cm, angle = 60°
Answer: 263.7cm²
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4.
Ratio
a:b is 2:1 and b:c is 3:5. Find a:b:c.
Answer: 12:6:10
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5.
Statistics
Find the mean, median and range of: 34, 81, 83, 67, 65, 72, 73, 92
Answer: Mean = 70.9, Median = 73, Range = 58
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: x² + 4.6x
Answer: (x + 2.3)² - 5.29
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3.
Geometry
Find area of triangle: a = 29cm, b = 24cm, angle = 49°
Answer: 262.6cm²
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4.
Ratio
a:b is 1:2 and b:c is 2:5. Find a:b:c.
Answer: 2:4:10
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5.
Statistics
Find the mean, median and range of: 41, 58, 42, 58, 56, 83, 51
Answer: Mean = 55.6, Median = 56, Range = 42