Change pack
Capstone
Aug 29 - Sep 4
25 questions
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1.
Number
Simplify: √75
Answer: 5√3
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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 = 23cm, b = 15cm, angle = 45°
Answer: 122cm²
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4.
Ratio
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 3:4:8
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5.
Statistics
Find the mean, median and range of: 49, 20, 25, 98, 96, 55, 83
Answer: Mean = 60.9, Median = 55, Range = 78
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1.
Number
Simplify: √363
Answer: 11√3
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2.
Algebra
Complete the square: x² + 2.2x
Answer: (x + 1.1)² - 1.21
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3.
Geometry
Find area of triangle: a = 24cm, b = 20cm, angle = 43°
Answer: 163.7cm²
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4.
Ratio
a:b is 1:2 and b:c is 3:5. Find a:b:c.
Answer: 6:12:20
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5.
Statistics
Find the mean, median and range of: 19, 20, 89, 97, 46, 97, 25, 22
Answer: Mean = 51.9, Median = 46, Range = 78
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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 = 28cm, b = 25cm, angle = 77°
Answer: 341cm²
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4.
Ratio
a:b is 4:3 and b:c is 1:2. Find a:b:c.
Answer: 4:3:6
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5.
Statistics
Find the mean, median and range of: 69, 54, 14, 28, 39, 51, 37, 83
Answer: Mean = 46.9, Median = 51, Range = 69
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1.
Number
Simplify: √200
Answer: 10√2
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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 = 12cm, b = 14cm, angle = 60°
Answer: 72.7cm²
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4.
Ratio
a:b is 2:3 and b:c is 2:3. Find a:b:c.
Answer: 8:12:18
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5.
Statistics
Find the mean, median and range of: 35, 80, 61, 69, 52, 90, 24, 37
Answer: Mean = 56, Median = 61, Range = 66
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1.
Number
Simplify: √242
Answer: 11√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 = 12cm, b = 13cm, angle = 42°
Answer: 52.2cm²
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4.
Ratio
a:b is 3:4 and b:c is 4:3. Find a:b:c.
Answer: 3:4:3
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5.
Statistics
Find the mean, median and range of: 46, 31, 23, 92, 39, 36, 83, 53, 92
Answer: Mean = 55, Median = 46, Range = 69