Change pack
Capstone
Oct 29 - Nov 4
25 questions
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1.
Number
Simplify: √147
Answer: 7√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 = 13cm, b = 15cm, angle = 80°
Answer: 96cm²
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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: 68, 20, 65, 83, 31, 39, 32, 95, 30
Answer: Mean = 51.4, Median = 39, Range = 75
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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 = 22cm, b = 23cm, angle = 71°
Answer: 239.2cm²
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4.
Ratio
a:b is 3:4 and b:c is 4:5. Find a:b:c.
Answer: 3:4:5
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5.
Statistics
Find the mean, median and range of: 27, 69, 20, 95, 42, 28, 33
Answer: Mean = 44.9, Median = 33, Range = 75
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1.
Number
Simplify: √125
Answer: 5√5
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2.
Algebra
Complete the square: x² + 2.6x
Answer: (x + 1.3)² - 1.69
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3.
Geometry
Find area of triangle: a = 15cm, b = 30cm, angle = 55°
Answer: 184.3cm²
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4.
Ratio
a:b is 1:2 and b:c is 2:5. Find a:b:c.
Answer: 2:4:10
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5.
Statistics
Find the mean, median and range of: 72, 47, 63, 59, 67, 60, 52, 80, 97
Answer: Mean = 66.3, Median = 63, Range = 50
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1.
Number
Simplify: √363
Answer: 11√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 = 12cm, b = 29cm, angle = 43°
Answer: 118.7cm²
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4.
Ratio
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 9:12:24
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5.
Statistics
Find the mean, median and range of: 34, 42, 68, 17, 19, 55, 93, 77, 87
Answer: Mean = 54.7, Median = 55, Range = 76
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: x² + 5.6x
Answer: (x + 2.8)² - 7.84
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3.
Geometry
Find area of triangle: a = 23cm, b = 28cm, angle = 65°
Answer: 291.8cm²
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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: 25, 32, 21, 39, 77, 74, 25, 22
Answer: Mean = 39.4, Median = 32, Range = 56