Change pack
Capstone
Oct 27 - Nov 2
25 questions
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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 = 23cm, b = 12cm, angle = 59°
Answer: 118.3cm²
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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: 31, 18, 74, 81, 97, 23, 36, 71
Answer: Mean = 53.9, Median = 71, Range = 79
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: x² + 4.2x
Answer: (x + 2.1)² - 4.41
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3.
Geometry
Find area of triangle: a = 28cm, b = 19cm, angle = 59°
Answer: 228cm²
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4.
Ratio
a:b is 2:1 and b:c is 4:3. Find a:b:c.
Answer: 8:4:3
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5.
Statistics
Find the mean, median and range of: 44, 80, 59, 68, 11, 21, 63, 41, 14
Answer: Mean = 44.6, Median = 44, Range = 69
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1.
Number
Simplify: √192
Answer: 8√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 = 28cm, b = 22cm, angle = 58°
Answer: 261.2cm²
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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: 56, 91, 41, 59, 93, 40, 30, 94
Answer: Mean = 63, Median = 59, Range = 64
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1.
Number
Simplify: √243
Answer: 9√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 = 27cm, b = 13cm, angle = 72°
Answer: 166.9cm²
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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: 97, 78, 48, 17, 84, 34, 45, 55, 31
Answer: Mean = 54.3, Median = 48, Range = 80
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: x² + 2.8x
Answer: (x + 1.4)² - 1.96
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3.
Geometry
Find area of triangle: a = 29cm, b = 23cm, angle = 76°
Answer: 323.6cm²
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4.
Ratio
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 8:4:6
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5.
Statistics
Find the mean, median and range of: 88, 20, 65, 56, 95, 98, 67, 47, 43
Answer: Mean = 64.3, Median = 65, Range = 78