Change pack
Capstone
Sep 26 - Oct 2
25 questions
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1.
Number
Simplify: √243
Answer: 9√3
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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 = 13cm, b = 30cm, angle = 61°
Answer: 170.6cm²
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4.
Ratio
a:b is 3:2 and b:c is 3:4. Find a:b:c.
Answer: 9:6:8
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5.
Statistics
Find the mean, median and range of: 47, 18, 23, 71, 36, 75, 41, 69, 95
Answer: Mean = 52.8, Median = 47, Range = 77
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1.
Number
Simplify: √242
Answer: 11√2
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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 = 22cm, angle = 45°
Answer: 93.3cm²
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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: 71, 45, 85, 96, 35, 30, 67, 50
Answer: Mean = 59.9, Median = 67, Range = 66
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: x² + 2x
Answer: (x + 1)² - 1
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3.
Geometry
Find area of triangle: a = 30cm, b = 14cm, angle = 76°
Answer: 203.8cm²
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4.
Ratio
a:b is 3:4 and b:c is 2:3. Find a:b:c.
Answer: 3:4:6
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5.
Statistics
Find the mean, median and range of: 14, 75, 84, 50, 96, 89, 38, 99
Answer: Mean = 68.1, Median = 84, Range = 85
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1.
Number
Simplify: √147
Answer: 7√3
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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 = 15cm, b = 16cm, angle = 56°
Answer: 99.5cm²
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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: 28, 21, 17, 57, 54, 18, 92, 75
Answer: Mean = 45.3, Median = 54, Range = 75
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1.
Number
Simplify: √363
Answer: 11√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 = 18cm, b = 30cm, angle = 58°
Answer: 229cm²
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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: 24, 73, 31, 56, 91, 31, 74, 97
Answer: Mean = 59.6, Median = 73, Range = 73