Change pack
Capstone
Jun 29 - Jul 5
25 questions
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1.
Number
Simplify: √147
Answer: 7√3
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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 = 26cm, b = 22cm, angle = 68°
Answer: 265.2cm²
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4.
Ratio
a:b is 3:4 and b:c is 2:5. Find a:b:c.
Answer: 3:4:10
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5.
Statistics
Find the mean, median and range of: 98, 13, 14, 61, 80, 75, 88, 92
Answer: Mean = 65.1, Median = 80, Range = 85
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1.
Number
Simplify: √75
Answer: 5√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 = 12cm, b = 23cm, angle = 63°
Answer: 123cm²
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4.
Ratio
a:b is 2:3 and b:c is 2:5. Find a:b:c.
Answer: 4:6:15
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5.
Statistics
Find the mean, median and range of: 26, 78, 57, 93, 83, 87, 85, 14, 40
Answer: Mean = 62.6, Median = 78, Range = 79
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1.
Number
Simplify: √125
Answer: 5√5
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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 = 23cm, angle = 56°
Answer: 133.5cm²
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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: 90, 22, 12, 55, 74, 79, 90
Answer: Mean = 60.3, Median = 74, Range = 78
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1.
Number
Simplify: √363
Answer: 11√3
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2.
Algebra
Complete the square: x² + 3.6x
Answer: (x + 1.8)² - 3.24
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3.
Geometry
Find area of triangle: a = 25cm, b = 25cm, angle = 76°
Answer: 303.2cm²
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4.
Ratio
a:b is 3:2 and b:c is 4:3. Find a:b:c.
Answer: 6:4:3
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5.
Statistics
Find the mean, median and range of: 98, 35, 32, 47, 89, 87, 85, 27
Answer: Mean = 62.5, Median = 85, Range = 71
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1.
Number
Simplify: √192
Answer: 8√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 = 24cm, angle = 66°
Answer: 328.9cm²
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4.
Ratio
a:b is 4:3 and b:c is 3:4. Find a:b:c.
Answer: 4:3:4
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5.
Statistics
Find the mean, median and range of: 79, 22, 43, 52, 92, 34, 54, 87, 14
Answer: Mean = 53, Median = 52, Range = 78