Change pack
Capstone
Apr 4 - 10
25 questions
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1.
Number
Simplify: 2√45
Answer: 6√5
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2.
Algebra
Complete the square: x² - 3x + 9
Answer: (x - 3⁄2)² + 27⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 24cm, angle = 67°. Give your answer to 2 decimal places
Answer: 298.24cm²
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4.
Ratio
a:b is 3:2 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 9:6:16
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5.
Statistics
Find the mean, median and range of: 62, 77, 16, 42, 68, 32, 81
Answer: Mean = 54, Median = 62, Range = 65
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1.
Number
Simplify: 5√50
Answer: 25√2
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2.
Algebra
Complete the square: 3x² - 30x + 11
Answer: 3(x - 5)² - 64
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3.
Geometry
Find area of triangle: a = 27cm, b = 28cm, angle = 59°. Give your answer to 2 decimal places
Answer: 324.01cm²
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4.
Ratio
a:b is 6:7 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 12:14:21
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5.
Statistics
Find the mean, median and range of: 27, 37, 100, 25, 93, 94, 62, 70, 25. Give your answer to 2 decimal places
Answer: Mean = 59.22, Median = 62, Range = 75
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1.
Number
Simplify: √80
Answer: 4√5
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2.
Algebra
Complete the square: x² - 11x + 7
Answer: (x - 11⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 24cm, angle = 40°. Give your answer to 2 decimal places
Answer: 138.84cm²
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4.
Ratio
a:b is 2:7 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 4:14:21
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5.
Statistics
Find the mean, median and range of: 56, 38, 89, 65, 26, 90, 38, 95. Give your answer to 2 decimal places
Answer: Mean = 62.13, Median = 60.5, Range = 69
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: x² - 9x + 7
Answer: (x - 9⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 17cm, angle = 70°. Give your answer to 2 decimal places
Answer: 127.8cm²
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4.
Ratio
a:b is 6:7 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 48:56:7
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5.
Statistics
Find the mean, median and range of: 51, 63, 67, 86, 50, 78, 69. Give your answer to 2 decimal places
Answer: Mean = 66.29, Median = 67, Range = 36
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: 5x² - 20x + 6
Answer: 5(x - 2)² - 14
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3.
Geometry
Find area of triangle: a = 26cm, b = 19cm, angle = 78°. Give your answer to 2 decimal places
Answer: 241.6cm²
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4.
Ratio
a:b is 6:7 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 30:35:28
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5.
Statistics
Find the mean, median and range of: 62, 82, 62, 29, 80, 83, 84, 59, 11. Give your answer to 2 decimal places
Answer: Mean = 61.33, Median = 62, Range = 73