Change pack
Capstone
Sep 25 - Oct 1
25 questions
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1.
Number
Simplify: √540
Answer: 6√15
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2.
Algebra
Complete the square: x² + 5x
Answer: (x + 5⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 12cm, angle = 78°. Give your answer to 2 decimal places
Answer: 76.3cm²
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4.
Ratio
a:b is 1:4 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 7:28:4
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5.
Statistics
Find the mean, median and range of: 50, 65, 32, 56, 86, 55, 69
Answer: Mean = 59, Median = 56, Range = 54
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1.
Number
Simplify: 4√99
Answer: 12√11
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2.
Algebra
Complete the square: x² - 5x + 2
Answer: (x - 5⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 16cm, angle = 58°. Give your answer to 2 decimal places
Answer: 169.61cm²
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4.
Ratio
a:b is 5:2 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 45:18:8
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5.
Statistics
Find the mean, median and range of: 69, 32, 21, 20, 21, 16, 24
Answer: Mean = 29, Median = 21, Range = 53
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1.
Number
Simplify: √396
Answer: 6√11
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2.
Algebra
Complete the square: 4x² + 8x + 14
Answer: 4(x + 1)² + 10
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3.
Geometry
Find area of triangle: a = 20cm, b = 28cm, angle = 49°. Give your answer to 2 decimal places
Answer: 211.32cm²
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4.
Ratio
a:b is 7:6 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 14:12:27
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5.
Statistics
Find the mean, median and range of: 38, 89, 55, 50, 36, 68, 81, 70. Give your answer to 2 decimal places
Answer: Mean = 60.88, Median = 61.5, Range = 53
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: x² - 9x - 6
Answer: (x - 9⁄2)² - 105⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 28cm, angle = 69°. Give your answer to 2 decimal places
Answer: 287.54cm²
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4.
Ratio
a:b is 4:7 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 8:14:49
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5.
Statistics
Find the mean, median and range of: 66, 68, 90, 24, 40, 22, 87, 18. Give your answer to 2 decimal places
Answer: Mean = 51.88, Median = 53, Range = 72
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1.
Number
Simplify: 3√176
Answer: 12√11
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2.
Algebra
Complete the square: 4x² + 16x - 6
Answer: 4(x + 2)² - 22
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3.
Geometry
Find area of triangle: a = 14cm, b = 23cm, angle = 59°. Give your answer to 2 decimal places
Answer: 138cm²
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4.
Ratio
a:b is 3:7 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 6:14:7
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5.
Statistics
Find the mean, median and range of: 77, 87, 57, 80, 58, 48, 13, 26, 47. Give your answer to 2 decimal places
Answer: Mean = 54.78, Median = 57, Range = 74