Change pack
Capstone
Aug 29 - Sep 4
25 questions
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1.
Number
Simplify: √684
Answer: 6√19
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2.
Algebra
Complete the square: 3x² - 24x - 8
Answer: 3(x - 4)² - 56
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3.
Geometry
Find area of triangle: a = 15cm, b = 27cm, angle = 64°. Give your answer to 2 decimal places
Answer: 182.01cm²
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4.
Ratio
a:b is 2:9 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 16:72:9
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5.
Statistics
Find the mean, median and range of: 95, 83, 34, 90, 51, 50, 50, 42. Give your answer to 2 decimal places
Answer: Mean = 61.88, Median = 50.5, Range = 61
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1.
Number
Simplify: 5√50
Answer: 25√2
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2.
Algebra
Complete the square: 2x² - 24x - 2
Answer: 2(x - 6)² - 74
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3.
Geometry
Find area of triangle: a = 29cm, b = 14cm, angle = 80°. Give your answer to 2 decimal places
Answer: 199.92cm²
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4.
Ratio
a:b is 5:6 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 35:42:12
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5.
Statistics
Find the mean, median and range of: 83, 10, 49, 26, 53, 58, 73, 82
Answer: Mean = 54.25, Median = 55.5, Range = 73
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1.
Number
Simplify: 3√275
Answer: 15√11
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2.
Algebra
Complete the square: 3x² + 6x - 12
Answer: 3(x + 1)² - 15
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3.
Geometry
Find area of triangle: a = 28cm, b = 27cm, angle = 58°. Give your answer to 2 decimal places
Answer: 320.56cm²
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4.
Ratio
a:b is 6:5 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 54:45:20
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5.
Statistics
Find the mean, median and range of: 79, 86, 17, 83, 88, 87, 21, 11
Answer: Mean = 59, Median = 81, Range = 77
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1.
Number
Simplify: √1000
Answer: 10√10
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2.
Algebra
Complete the square: x² + 7x - 1
Answer: (x + 7⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 25cm, angle = 48°. Give your answer to 2 decimal places
Answer: 185.79cm²
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4.
Ratio
a:b is 9:4 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 45:20:24
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5.
Statistics
Find the mean, median and range of: 26, 65, 94, 59, 54, 57, 48, 51, 27. Give your answer to 2 decimal places
Answer: Mean = 53.44, Median = 54, Range = 68
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1.
Number
Simplify: √704
Answer: 8√11
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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 = 20cm, b = 25cm, angle = 75°. Give your answer to 2 decimal places
Answer: 241.48cm²
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4.
Ratio
a:b is 8:5 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 56:35:45
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5.
Statistics
Find the mean, median and range of: 86, 38, 50, 33, 54, 65, 43. Give your answer to 2 decimal places
Answer: Mean = 52.71, Median = 50, Range = 53