Change pack
Capstone
Apr 15 - 21
25 questions
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1.
Number
Simplify: √475
Answer: 5√19
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2.
Algebra
Complete the square: x² + 3x - 7
Answer: (x + 3⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 17cm, angle = 62°. Give your answer to 2 decimal places
Answer: 172.62cm²
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4.
Ratio
a:b is 2:5 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 12:30:35
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5.
Statistics
Find the mean, median and range of: 43, 71, 78, 82, 88, 21, 89. Give your answer to 2 decimal places
Answer: Mean = 67.43, Median = 78, Range = 68
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1.
Number
Simplify: √468
Answer: 6√13
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2.
Algebra
Complete the square: x² + 3x - 6
Answer: (x + 3⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 17cm, angle = 42°. Give your answer to 2 decimal places
Answer: 147.88cm²
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4.
Ratio
a:b is 1:3 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 8:24:27
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5.
Statistics
Find the mean, median and range of: 55, 62, 68, 83, 81, 77, 81. Give your answer to 2 decimal places
Answer: Mean = 72.43, Median = 77, Range = 28
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: x² + 9x + 9
Answer: (x + 9⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 24cm, angle = 47°. Give your answer to 2 decimal places
Answer: 122.87cm²
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4.
Ratio
a:b is 6:5 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 42:35:25
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5.
Statistics
Find the mean, median and range of: 22, 64, 60, 44, 64, 37, 78, 92. Give your answer to 2 decimal places
Answer: Mean = 57.63, Median = 62, Range = 70
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1.
Number
Simplify: 4√40
Answer: 8√10
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2.
Algebra
Complete the square: x² + x - 12
Answer: (x + 1⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 14cm, angle = 44°. Give your answer to 2 decimal places
Answer: 82.66cm²
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4.
Ratio
a:b is 7:4 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 63:36:20
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5.
Statistics
Find the mean, median and range of: 94, 77, 98, 77, 30, 54, 99. Give your answer to 2 decimal places
Answer: Mean = 75.57, Median = 77, Range = 69
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1.
Number
Simplify: √686
Answer: 7√14
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2.
Algebra
Complete the square: 3x² + 24x - 1
Answer: 3(x + 4)² - 49
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3.
Geometry
Find area of triangle: a = 29cm, b = 28cm, angle = 48°. Give your answer to 2 decimal places
Answer: 301.72cm²
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4.
Ratio
a:b is 3:2 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 9:6:14
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5.
Statistics
Find the mean, median and range of: 16, 41, 52, 18, 70, 57, 37. Give your answer to 2 decimal places
Answer: Mean = 41.57, Median = 41, Range = 54