Change pack
Capstone
Sep 26 - Oct 2
25 questions
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1.
Number
Simplify: √539
Answer: 7√11
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2.
Algebra
Complete the square: 2x² - 16x + 3
Answer: 2(x - 4)² - 29
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3.
Geometry
Find area of triangle: a = 21cm, b = 15cm, angle = 49°. Give your answer to 2 decimal places
Answer: 118.87cm²
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4.
Ratio
a:b is 3:8 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 15:40:16
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5.
Statistics
Find the mean, median and range of: 77, 61, 94, 44, 97, 71, 38. Give your answer to 2 decimal places
Answer: Mean = 68.86, Median = 71, Range = 59
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: 2x² + 12x - 10
Answer: 2(x + 3)² - 28
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3.
Geometry
Find area of triangle: a = 29cm, b = 15cm, angle = 69°. Give your answer to 2 decimal places
Answer: 203.05cm²
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4.
Ratio
a:b is 5:9 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 25:45:18
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5.
Statistics
Find the mean, median and range of: 82, 39, 38, 19, 78, 99, 54, 33
Answer: Mean = 55.25, Median = 46.5, Range = 80
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1.
Number
Simplify: 4√275
Answer: 20√11
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2.
Algebra
Complete the square: x² - 5x + 5
Answer: (x - 5⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 13cm, angle = 60°. Give your answer to 2 decimal places
Answer: 90.07cm²
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4.
Ratio
a:b is 4:5 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 36:45:40
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5.
Statistics
Find the mean, median and range of: 73, 87, 72, 46, 47, 85, 64, 45. Give your answer to 2 decimal places
Answer: Mean = 64.88, Median = 68, Range = 42
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1.
Number
Simplify: 5√75
Answer: 25√3
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2.
Algebra
Complete the square: 5x² - 20x + 14
Answer: 5(x - 2)² - 6
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3.
Geometry
Find area of triangle: a = 16cm, b = 25cm, angle = 43°. Give your answer to 2 decimal places
Answer: 136.4cm²
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4.
Ratio
a:b is 8:9 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 40:45:36
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5.
Statistics
Find the mean, median and range of: 76, 49, 29, 34, 49, 97, 13, 71
Answer: Mean = 52.25, Median = 49, Range = 84
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1.
Number
Simplify: 3√45
Answer: 9√5
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2.
Algebra
Complete the square: x² + x - 8
Answer: (x + 1⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 25cm, angle = 80°. Give your answer to 2 decimal places
Answer: 196.96cm²
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4.
Ratio
a:b is 3:4 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 9:12:8
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5.
Statistics
Find the mean, median and range of: 51, 45, 29, 84, 54, 15, 76, 94
Answer: Mean = 56, Median = 52.5, Range = 79