Change pack
Capstone
Jan 9 - 15
25 questions
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1.
Number
Simplify: √75
Answer: 5√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 = 23cm, b = 13cm, angle = 49°
Answer: 112.8cm²
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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: 97, 72, 46, 24, 36, 67, 90
Answer: Mean = 61.7, Median = 67, Range = 73
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1.
Number
Simplify: √125
Answer: 5√5
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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 = 30cm, b = 15cm, angle = 51°
Answer: 174.9cm²
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4.
Ratio
a:b is 1:2 and b:c is 4:3. Find a:b:c.
Answer: 2:4:3
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5.
Statistics
Find the mean, median and range of: 13, 40, 74, 56, 24, 11, 48
Answer: Mean = 38, Median = 40, Range = 63
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1.
Number
Simplify: √108
Answer: 6√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 = 12cm, b = 20cm, angle = 69°
Answer: 112cm²
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4.
Ratio
a:b is 2:3 and b:c is 3:5. Find a:b:c.
Answer: 2:3:5
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5.
Statistics
Find the mean, median and range of: 33, 96, 43, 63, 15, 25, 41, 83
Answer: Mean = 49.9, Median = 43, Range = 81
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: x² + 4.6x
Answer: (x + 2.3)² - 5.29
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3.
Geometry
Find area of triangle: a = 13cm, b = 18cm, angle = 43°
Answer: 79.8cm²
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4.
Ratio
a:b is 3:2 and b:c is 4:5. Find a:b:c.
Answer: 6:4:5
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5.
Statistics
Find the mean, median and range of: 99, 100, 96, 39, 60, 38, 59, 43
Answer: Mean = 66.8, Median = 60, Range = 62
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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 = 13cm, b = 27cm, angle = 80°
Answer: 172.8cm²
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4.
Ratio
a:b is 4:3 and b:c is 4:3. Find a:b:c.
Answer: 16:12:9
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5.
Statistics
Find the mean, median and range of: 20, 30, 68, 89, 53, 60, 99
Answer: Mean = 59.9, Median = 60, Range = 79