Change pack
Capstone
Feb 25 - Mar 3
25 questions
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1.
Number
Simplify: √726
Answer: 11√6
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2.
Algebra
Complete the square: 4x² + 16x - 7
Answer: 4(x + 2)² - 23
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3.
Geometry
Find area of triangle: a = 18cm, b = 28cm, angle = 69°. Give your answer to 2 decimal places
Answer: 235.26cm²
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4.
Ratio
a:b is 1:3 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 7:21:18
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5.
Statistics
Find the mean, median and range of: 81, 47, 86, 71, 18, 15, 99, 69, 85. Give your answer to 2 decimal places
Answer: Mean = 63.44, Median = 71, Range = 84
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1.
Number
Simplify: 2√125
Answer: 10√5
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2.
Algebra
Complete the square: x² + 5x - 7
Answer: (x + 5⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 17cm, angle = 42°. Give your answer to 2 decimal places
Answer: 79.63cm²
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4.
Ratio
a:b is 3:7 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 9:21:56
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5.
Statistics
Find the mean, median and range of: 21, 31, 99, 79, 51, 84, 19, 58
Answer: Mean = 55.25, Median = 54.5, Range = 80
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1.
Number
Simplify: √200
Answer: 10√2
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2.
Algebra
Complete the square: x² - 5x + 9
Answer: (x - 5⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 17cm, angle = 49°. Give your answer to 2 decimal places
Answer: 128.3cm²
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4.
Ratio
a:b is 2:9 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 8:36:81
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5.
Statistics
Find the mean, median and range of: 75, 29, 66, 26, 32, 34, 18, 87, 75. Give your answer to 2 decimal places
Answer: Mean = 49.11, Median = 34, Range = 69
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1.
Number
Simplify: √240
Answer: 4√15
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2.
Algebra
Complete the square: x² - 3x + 6
Answer: (x - 3⁄2)² + 15⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 16cm, angle = 78°. Give your answer to 2 decimal places
Answer: 172.15cm²
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4.
Ratio
a:b is 3:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 9:21:49
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5.
Statistics
Find the mean, median and range of: 35, 62, 64, 90, 81, 13, 92, 96, 82. Give your answer to 2 decimal places
Answer: Mean = 68.33, Median = 81, Range = 83
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1.
Number
Simplify: √640
Answer: 8√10
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2.
Algebra
Complete the square: 3x² - 30x - 1
Answer: 3(x - 5)² - 76
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3.
Geometry
Find area of triangle: a = 12cm, b = 29cm, angle = 52°. Give your answer to 2 decimal places
Answer: 137.11cm²
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4.
Ratio
a:b is 3:4 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 21:28:36
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5.
Statistics
Find the mean, median and range of: 13, 73, 58, 59, 90, 53, 96. Give your answer to 2 decimal places
Answer: Mean = 63.14, Median = 59, Range = 83