Change pack
Capstone
Jan 27 - Feb 2
25 questions
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1.
Number
Simplify: √525
Answer: 5√21
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2.
Algebra
Complete the square: 5x² - 50x - 10
Answer: 5(x - 5)² - 135
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3.
Geometry
Find area of triangle: a = 27cm, b = 13cm, angle = 57°. Give your answer to 2 decimal places
Answer: 147.19cm²
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4.
Ratio
a:b is 1:4 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 5:20:28
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5.
Statistics
Find the mean, median and range of: 56, 38, 34, 70, 49, 46, 55, 95. Give your answer to 2 decimal places
Answer: Mean = 55.38, Median = 52, Range = 61
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1.
Number
Simplify: √300
Answer: 10√3
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2.
Algebra
Complete the square: x² - 9x - 12
Answer: (x - 9⁄2)² - 129⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 30cm, angle = 54°. Give your answer to 2 decimal places
Answer: 182.03cm²
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4.
Ratio
a:b is 7:2 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 35:10:16
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5.
Statistics
Find the mean, median and range of: 76, 39, 44, 41, 53, 86, 21, 75. Give your answer to 2 decimal places
Answer: Mean = 54.38, Median = 48.5, Range = 65
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1.
Number
Simplify: √325
Answer: 5√13
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2.
Algebra
Complete the square: x² - 7x + 12
Answer: (x - 7⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 20cm, angle = 73°. Give your answer to 2 decimal places
Answer: 124.32cm²
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4.
Ratio
a:b is 7:4 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 21:12:2
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5.
Statistics
Find the mean, median and range of: 29, 34, 36, 64, 98, 62, 54, 49
Answer: Mean = 53.25, Median = 51.5, Range = 69
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1.
Number
Simplify: 5√250
Answer: 25√10
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2.
Algebra
Complete the square: 2x² - 12x - 11
Answer: 2(x - 3)² - 29
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3.
Geometry
Find area of triangle: a = 20cm, b = 13cm, angle = 46°. Give your answer to 2 decimal places
Answer: 93.51cm²
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4.
Ratio
a:b is 6:5 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 54:45:40
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5.
Statistics
Find the mean, median and range of: 67, 88, 82, 72, 19, 68, 72, 48
Answer: Mean = 64.5, Median = 70, Range = 69
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1.
Number
Simplify: √162
Answer: 9√2
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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 = 20cm, b = 25cm, angle = 40°. Give your answer to 2 decimal places
Answer: 160.7cm²
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4.
Ratio
a:b is 9:7 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 45:35:42
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5.
Statistics
Find the mean, median and range of: 10, 44, 78, 63, 72, 47, 53, 62. Give your answer to 2 decimal places
Answer: Mean = 53.63, Median = 57.5, Range = 68