Change pack
Capstone
Aug 31 - Sep 6
25 questions
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1.
Number
Simplify: √147
Answer: 7√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 = 30cm, b = 13cm, angle = 40°
Answer: 125.3cm²
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4.
Ratio
a:b is 2:3 and b:c is 1:2. Find a:b:c.
Answer: 2:3:6
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5.
Statistics
Find the mean, median and range of: 61, 62, 28, 83, 92, 66, 48
Answer: Mean = 62.9, Median = 62, Range = 64
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: x² + 3x
Answer: (x + 1.5)² - 2.25
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3.
Geometry
Find area of triangle: a = 22cm, b = 28cm, angle = 79°
Answer: 302.3cm²
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4.
Ratio
a:b is 2:3 and b:c is 2:3. Find a:b:c.
Answer: 4:6:9
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5.
Statistics
Find the mean, median and range of: 33, 41, 51, 44, 20, 91, 88, 82, 96
Answer: Mean = 60.7, Median = 51, Range = 76
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1.
Number
Simplify: √162
Answer: 9√2
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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 = 24cm, b = 13cm, angle = 43°
Answer: 106.4cm²
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4.
Ratio
a:b is 3:2 and b:c is 3:5. Find a:b:c.
Answer: 9:6:10
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5.
Statistics
Find the mean, median and range of: 84, 60, 84, 52, 19, 23, 72, 52, 12
Answer: Mean = 50.9, Median = 52, Range = 72
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1.
Number
Simplify: √242
Answer: 11√2
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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 = 30cm, b = 25cm, angle = 58°
Answer: 318cm²
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4.
Ratio
a:b is 2:3 and b:c is 1:3. Find a:b:c.
Answer: 4:6:18
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5.
Statistics
Find the mean, median and range of: 97, 92, 25, 89, 17, 59, 66, 74
Answer: Mean = 64.9, Median = 74, Range = 80
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1.
Number
Simplify: √320
Answer: 8√5
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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 = 23cm, b = 15cm, angle = 53°
Answer: 137.8cm²
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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: 52, 12, 50, 98, 50, 15, 73, 68
Answer: Mean = 52.3, Median = 52, Range = 86