Change pack
Capstone
Mar 11 - 17
25 questions
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1.
Number
Simplify: 2√160
Answer: 8√10
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2.
Algebra
Complete the square: x² + x + 9
Answer: (x + 1⁄2)² + 35⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 22cm, angle = 58°. Give your answer to 2 decimal places
Answer: 177.24cm²
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4.
Ratio
a:b is 9:2 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 81:18:10
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5.
Statistics
Find the mean, median and range of: 53, 54, 65, 68, 92, 29, 46, 77, 79. Give your answer to 2 decimal places
Answer: Mean = 62.56, Median = 65, Range = 63
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1.
Number
Simplify: 4√160
Answer: 16√10
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2.
Algebra
Complete the square: 4x² - 8x + 13
Answer: 4(x - 1)² + 9
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3.
Geometry
Find area of triangle: a = 13cm, b = 21cm, angle = 56°. Give your answer to 2 decimal places
Answer: 113.16cm²
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4.
Ratio
a:b is 5:2 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 35:14:18
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5.
Statistics
Find the mean, median and range of: 74, 77, 64, 71, 99, 61, 89, 83, 30
Answer: Mean = 72, Median = 74, Range = 69
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: x² - x - 10
Answer: (x - 1⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 22cm, angle = 42°. Give your answer to 2 decimal places
Answer: 117.77cm²
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4.
Ratio
a:b is 7:8 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 35:40:48
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5.
Statistics
Find the mean, median and range of: 85, 65, 59, 37, 52, 87, 27. Give your answer to 2 decimal places
Answer: Mean = 58.86, Median = 59, Range = 60
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1.
Number
Simplify: 5√44
Answer: 10√11
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2.
Algebra
Complete the square: x² + 5x - 3
Answer: (x + 5⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 16cm, angle = 42°. Give your answer to 2 decimal places
Answer: 144.53cm²
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4.
Ratio
a:b is 2:3 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 8:12:15
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5.
Statistics
Find the mean, median and range of: 34, 23, 30, 25, 89, 75, 29. Give your answer to 2 decimal places
Answer: Mean = 43.57, Median = 30, Range = 66
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1.
Number
Simplify: √72
Answer: 6√2
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2.
Algebra
Complete the square: 5x² - 60x + 15
Answer: 5(x - 6)² - 165
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3.
Geometry
Find area of triangle: a = 16cm, b = 16cm, angle = 53°. Give your answer to 2 decimal places
Answer: 102.23cm²
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4.
Ratio
a:b is 5:8 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 25:40:24
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5.
Statistics
Find the mean, median and range of: 46, 48, 84, 25, 52, 65, 69. Give your answer to 2 decimal places
Answer: Mean = 55.57, Median = 52, Range = 59