Change pack
Capstone
Feb 28 - Mar 6
25 questions
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1.
Number
Simplify: √250
Answer: 5√10
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2.
Algebra
Complete the square: x² - x - 6
Answer: (x - 1⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 16cm, angle = 64°. Give your answer to 2 decimal places
Answer: 93.47cm²
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4.
Ratio
a:b is 5:3 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 35:21:27
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5.
Statistics
Find the mean, median and range of: 64, 96, 29, 38, 95, 93, 89
Answer: Mean = 72, Median = 89, Range = 67
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1.
Number
Simplify: √605
Answer: 11√5
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2.
Algebra
Complete the square: x² + 3x - 1
Answer: (x + 3⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 17cm, angle = 78°. Give your answer to 2 decimal places
Answer: 207.86cm²
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4.
Ratio
a:b is 9:4 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 27:12:16
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5.
Statistics
Find the mean, median and range of: 12, 95, 39, 94, 41, 49, 41, 55
Answer: Mean = 53.25, Median = 45, Range = 83
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1.
Number
Simplify: 3√45
Answer: 9√5
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2.
Algebra
Complete the square: x² - 11x + 7
Answer: (x - 11⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 15cm, angle = 74°. Give your answer to 2 decimal places
Answer: 209.07cm²
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4.
Ratio
a:b is 9:2 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 27:6:4
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5.
Statistics
Find the mean, median and range of: 75, 89, 83, 46, 79, 28, 25, 97
Answer: Mean = 65.25, Median = 77, Range = 72
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1.
Number
Simplify: √32
Answer: 4√2
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2.
Algebra
Complete the square: 5x² - 50x + 13
Answer: 5(x - 5)² - 112
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3.
Geometry
Find area of triangle: a = 19cm, b = 29cm, angle = 70°. Give your answer to 2 decimal places
Answer: 258.89cm²
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4.
Ratio
a:b is 6:7 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 12:14:21
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5.
Statistics
Find the mean, median and range of: 19, 15, 97, 88, 86, 62, 88, 88, 85. Give your answer to 2 decimal places
Answer: Mean = 69.78, Median = 86, Range = 82
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1.
Number
Simplify: 2√27
Answer: 6√3
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2.
Algebra
Complete the square: x² + 5x + 8
Answer: (x + 5⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 25cm, angle = 57°. Give your answer to 2 decimal places
Answer: 220.15cm²
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4.
Ratio
a:b is 1:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 9:45:5
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5.
Statistics
Find the mean, median and range of: 29, 83, 64, 10, 100, 32, 45, 38. Give your answer to 2 decimal places
Answer: Mean = 50.13, Median = 41.5, Range = 90