Change pack
Capstone
Nov 25 - Dec 1
25 questions
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: x² + 5x
Answer: (x + 2.5)² - 6.25
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3.
Geometry
Find area of triangle: a = 22cm, b = 15cm, angle = 71°
Answer: 156cm²
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4.
Ratio
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 3:2:4
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5.
Statistics
Find the mean, median and range of: 41, 100, 30, 21, 48, 62, 91
Answer: Mean = 56.1, Median = 48, Range = 79
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1.
Number
Simplify: √162
Answer: 9√2
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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 = 13cm, b = 23cm, angle = 60°
Answer: 129.5cm²
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4.
Ratio
a:b is 2:3 and b:c is 3:4. Find a:b:c.
Answer: 2:3:4
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5.
Statistics
Find the mean, median and range of: 66, 89, 20, 67, 63, 79, 13, 55, 85
Answer: Mean = 59.7, Median = 66, Range = 76
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1.
Number
Simplify: √242
Answer: 11√2
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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 = 13cm, b = 15cm, angle = 47°
Answer: 71.3cm²
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4.
Ratio
a:b is 3:4 and b:c is 3:5. Find a:b:c.
Answer: 9:12:20
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5.
Statistics
Find the mean, median and range of: 33, 55, 79, 91, 50, 52, 40
Answer: Mean = 57.1, Median = 52, Range = 58
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1.
Number
Simplify: √108
Answer: 6√3
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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 = 12cm, b = 29cm, angle = 43°
Answer: 118.7cm²
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4.
Ratio
a:b is 3:2 and b:c is 3:4. Find a:b:c.
Answer: 9:6:8
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5.
Statistics
Find the mean, median and range of: 47, 60, 20, 29, 47, 74, 20
Answer: Mean = 42.4, Median = 47, Range = 54
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: x² + 5.4x
Answer: (x + 2.7)² - 7.29
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3.
Geometry
Find area of triangle: a = 28cm, b = 26cm, angle = 66°
Answer: 332.5cm²
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4.
Ratio
a:b is 2:1 and b:c is 3:4. Find a:b:c.
Answer: 12:6:8
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5.
Statistics
Find the mean, median and range of: 17, 56, 65, 21, 83, 70, 58, 75
Answer: Mean = 55.6, Median = 65, Range = 66