Change pack
Capstone
Apr 16 - 22
25 questions
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1.
Number
Simplify: √320
Answer: 8√5
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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 = 20cm, b = 12cm, angle = 62°
Answer: 106cm²
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4.
Ratio
a:b is 4:3 and b:c is 2:3. Find a:b:c.
Answer: 16:12:18
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5.
Statistics
Find the mean, median and range of: 84, 86, 92, 23, 23, 49, 73, 41
Answer: Mean = 58.9, Median = 73, Range = 69
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1.
Number
Simplify: √108
Answer: 6√3
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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 = 27cm, b = 16cm, angle = 41°
Answer: 141.7cm²
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4.
Ratio
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 3:4:8
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5.
Statistics
Find the mean, median and range of: 79, 58, 87, 74, 55, 89, 68, 63
Answer: Mean = 71.6, Median = 74, Range = 34
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1.
Number
Simplify: √147
Answer: 7√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 = 30cm, b = 13cm, angle = 41°
Answer: 127.9cm²
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4.
Ratio
a:b is 2:3 and b:c is 1:2. Find a:b:c.
Answer: 4:6:12
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5.
Statistics
Find the mean, median and range of: 64, 60, 32, 18, 11, 27, 36, 27
Answer: Mean = 34.4, Median = 32, Range = 53
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1.
Number
Simplify: √162
Answer: 9√2
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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 = 19cm, b = 27cm, angle = 51°
Answer: 199.3cm²
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4.
Ratio
a:b is 2:1 and b:c is 4:5. Find a:b:c.
Answer: 8:4:5
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5.
Statistics
Find the mean, median and range of: 20, 40, 56, 54, 52, 11, 87, 15
Answer: Mean = 41.9, Median = 52, Range = 76
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1.
Number
Simplify: √243
Answer: 9√3
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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 = 28cm, b = 23cm, angle = 57°
Answer: 270.cm²
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4.
Ratio
a:b is 1:2 and b:c is 2:3. Find a:b:c.
Answer: 2:4:6
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5.
Statistics
Find the mean, median and range of: 58, 100, 34, 64, 13, 28, 55
Answer: Mean = 50.3, Median = 55, Range = 87