Change pack
Capstone
Dec 26 - Jan 1
25 questions
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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 = 26cm, b = 27cm, angle = 62°
Answer: 309.9cm²
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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: 63, 100, 58, 74, 50, 72, 53, 67
Answer: Mean = 67.1, Median = 67, Range = 50
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1.
Number
Simplify: √242
Answer: 11√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 = 14cm, b = 25cm, angle = 60°
Answer: 151.6cm²
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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: 35, 100, 90, 85, 47, 69, 22, 72
Answer: Mean = 65, Median = 72, Range = 78
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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 = 21cm, b = 16cm, angle = 45°
Answer: 118.8cm²
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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: 45, 20, 66, 10, 49, 87, 26, 29
Answer: Mean = 41.5, Median = 45, Range = 77
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1.
Number
Simplify: √192
Answer: 8√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 = 14cm, b = 22cm, angle = 70°
Answer: 144.7cm²
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4.
Ratio
a:b is 3:4 and b:c is 1:3. Find a:b:c.
Answer: 3:4:12
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5.
Statistics
Find the mean, median and range of: 60, 11, 50, 83, 63, 95, 24, 52
Answer: Mean = 54.8, Median = 60, Range = 84
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: x² + 3.8x
Answer: (x + 1.9)² - 3.61
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3.
Geometry
Find area of triangle: a = 14cm, b = 18cm, angle = 57°
Answer: 105.7cm²
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4.
Ratio
a:b is 2:3 and b:c is 1:2. Find a:b:c.
Answer: 4:6:12
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5.
Statistics
Find the mean, median and range of: 37, 14, 91, 75, 31, 76, 91
Answer: Mean = 59.3, Median = 75, Range = 77