Change pack
Capstone
Dec 5 - 11
25 questions
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1.
Number
Simplify: √112
Answer: 4√7
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2.
Algebra
Complete the square: 2x² + 8x + 11
Answer: 2(x + 2)² + 3
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3.
Geometry
Find area of triangle: a = 14cm, b = 20cm, angle = 66°. Give your answer to 2 decimal places
Answer: 127.9cm²
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4.
Ratio
a:b is 3:7 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 18:42:7
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5.
Statistics
Find the mean, median and range of: 42, 100, 74, 39, 84, 15, 32, 93. Give your answer to 2 decimal places
Answer: Mean = 59.88, Median = 58, Range = 85
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1.
Number
Simplify: 5√20
Answer: 10√5
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2.
Algebra
Complete the square: 3x² - 36x + 5
Answer: 3(x - 6)² - 103
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3.
Geometry
Find area of triangle: a = 23cm, b = 21cm, angle = 79°. Give your answer to 2 decimal places
Answer: 237.06cm²
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4.
Ratio
a:b is 4:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 20:45:54
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5.
Statistics
Find the mean, median and range of: 49, 28, 24, 98, 70, 98, 54, 45, 59. Give your answer to 2 decimal places
Answer: Mean = 58.33, Median = 54, Range = 74
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1.
Number
Simplify: 3√90
Answer: 9√10
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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 = 18cm, b = 18cm, angle = 78°. Give your answer to 2 decimal places
Answer: 158.46cm²
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4.
Ratio
a:b is 3:8 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 27:72:64
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5.
Statistics
Find the mean, median and range of: 49, 63, 39, 43, 17, 92, 45, 31. Give your answer to 2 decimal places
Answer: Mean = 47.38, Median = 44, Range = 75
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1.
Number
Simplify: √396
Answer: 6√11
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2.
Algebra
Complete the square: 5x² + 10x - 8
Answer: 5(x + 1)² - 13
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3.
Geometry
Find area of triangle: a = 19cm, b = 26cm, angle = 65°. Give your answer to 2 decimal places
Answer: 223.86cm²
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4.
Ratio
a:b is 3:4 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 9:12:14
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5.
Statistics
Find the mean, median and range of: 73, 94, 50, 50, 39, 10, 35, 32. Give your answer to 2 decimal places
Answer: Mean = 47.88, Median = 44.5, Range = 84
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1.
Number
Simplify: 2√24
Answer: 4√6
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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 = 16cm, b = 27cm, angle = 65°. Give your answer to 2 decimal places
Answer: 195.76cm²
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4.
Ratio
a:b is 5:4 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 15:12:2
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5.
Statistics
Find the mean, median and range of: 25, 95, 36, 29, 82, 36, 75
Answer: Mean = 54, Median = 36, Range = 70