Change pack
Capstone
Aug 3 - 9
25 questions
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: x² + 3.2x
Answer: (x + 1.6)² - 2.56
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3.
Geometry
Find area of triangle: a = 25cm, b = 18cm, angle = 64°
Answer: 202.2cm²
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4.
Ratio
a:b is 2:1 and b:c is 2:5. Find a:b:c.
Answer: 4:2:5
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5.
Statistics
Find the mean, median and range of: 13, 53, 56, 18, 65, 36, 46
Answer: Mean = 41, Median = 46, Range = 52
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1.
Number
Simplify: √200
Answer: 10√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 = 20cm, b = 27cm, angle = 46°
Answer: 194.2cm²
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4.
Ratio
a:b is 2:1 and b:c is 1:3. Find a:b:c.
Answer: 4:2:6
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5.
Statistics
Find the mean, median and range of: 35, 91, 59, 73, 84, 50, 23, 86, 87
Answer: Mean = 65.3, Median = 73, Range = 68
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: x² + 4.4x
Answer: (x + 2.2)² - 4.84
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3.
Geometry
Find area of triangle: a = 30cm, b = 14cm, angle = 47°
Answer: 153.6cm²
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4.
Ratio
a:b is 3:2 and b:c is 2:5. Find a:b:c.
Answer: 3:2:5
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5.
Statistics
Find the mean, median and range of: 49, 87, 54, 85, 64, 38, 69, 69, 53
Answer: Mean = 63.1, Median = 64, Range = 49
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: x² + 6x
Answer: (x + 3)² - 9
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3.
Geometry
Find area of triangle: a = 17cm, b = 30cm, angle = 51°
Answer: 198.2cm²
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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: 49, 96, 64, 74, 86, 75, 90, 21, 31
Answer: Mean = 65.1, Median = 74, Range = 75
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1.
Number
Simplify: √75
Answer: 5√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 = 20cm, b = 18cm, angle = 55°
Answer: 147.4cm²
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4.
Ratio
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 4:2:3
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5.
Statistics
Find the mean, median and range of: 53, 39, 69, 86, 16, 17, 81, 67, 62
Answer: Mean = 54.4, Median = 62, Range = 70