Change pack
Capstone
Jun 24 - 30
25 questions
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1.
Number
Simplify: √75
Answer: 5√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 = 20cm, b = 25cm, angle = 52°
Answer: 197cm²
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4.
Ratio
a:b is 3:4 and b:c is 3:4. Find a:b:c.
Answer: 9:12:16
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5.
Statistics
Find the mean, median and range of: 96, 89, 12, 75, 40, 58, 30, 75, 54
Answer: Mean = 58.8, Median = 58, Range = 84
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1.
Number
Simplify: √98
Answer: 7√2
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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 = 21cm, b = 22cm, angle = 57°
Answer: 193.7cm²
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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: 14, 46, 13, 98, 99, 68, 79, 88
Answer: Mean = 63.1, Median = 79, Range = 86
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1.
Number
Simplify: √200
Answer: 10√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 = 17cm, b = 26cm, angle = 50°
Answer: 169.3cm²
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4.
Ratio
a:b is 1:2 and b:c is 3:4. Find a:b:c.
Answer: 6:12:16
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5.
Statistics
Find the mean, median and range of: 38, 53, 40, 38, 44, 15, 23, 79, 48
Answer: Mean = 42, Median = 40, Range = 64
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1.
Number
Simplify: √242
Answer: 11√2
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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 = 27cm, b = 25cm, angle = 65°
Answer: 305.9cm²
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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: 69, 44, 71, 66, 13, 20, 53, 43, 37
Answer: Mean = 46.2, Median = 44, Range = 58
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1.
Number
Simplify: √128
Answer: 8√2
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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 = 21cm, b = 15cm, angle = 60°
Answer: 136.4cm²
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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: 72, 96, 70, 54, 11, 10, 74
Answer: Mean = 55.3, Median = 70, Range = 86