Change pack
Capstone
Aug 28 - Sep 3
25 questions
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1.
Number
Simplify: √96
Answer: 4√6
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2.
Algebra
Complete the square: 5x² + 30x - 1
Answer: 5(x + 3)² - 46
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3.
Geometry
Find area of triangle: a = 27cm, b = 26cm, angle = 45°. Give your answer to 2 decimal places
Answer: 248.19cm²
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4.
Ratio
a:b is 1:5 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 3:15:10
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5.
Statistics
Find the mean, median and range of: 66, 95, 32, 26, 91, 11, 51. Give your answer to 2 decimal places
Answer: Mean = 53.14, Median = 51, Range = 84
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1.
Number
Simplify: 3√32
Answer: 12√2
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2.
Algebra
Complete the square: 2x² - 12x - 14
Answer: 2(x - 3)² - 32
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3.
Geometry
Find area of triangle: a = 21cm, b = 18cm, angle = 49°. Give your answer to 2 decimal places
Answer: 142.64cm²
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4.
Ratio
a:b is 6:5 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 18:15:20
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5.
Statistics
Find the mean, median and range of: 81, 13, 54, 42, 54, 57, 22, 79, 12
Answer: Mean = 46, Median = 54, Range = 69
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1.
Number
Simplify: √224
Answer: 4√14
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2.
Algebra
Complete the square: 2x² - 12x - 7
Answer: 2(x - 3)² - 25
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3.
Geometry
Find area of triangle: a = 18cm, b = 17cm, angle = 63°. Give your answer to 2 decimal places
Answer: 136.32cm²
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4.
Ratio
a:b is 7:8 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 35:40:16
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5.
Statistics
Find the mean, median and range of: 54, 30, 76, 98, 64, 26, 91, 65, 56. Give your answer to 2 decimal places
Answer: Mean = 62.22, Median = 64, Range = 72
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1.
Number
Simplify: 2√40
Answer: 4√10
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2.
Algebra
Complete the square: 3x² + 24x - 1
Answer: 3(x + 4)² - 49
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3.
Geometry
Find area of triangle: a = 18cm, b = 13cm, angle = 40°. Give your answer to 2 decimal places
Answer: 75.21cm²
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4.
Ratio
a:b is 4:3 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 20:15:24
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5.
Statistics
Find the mean, median and range of: 38, 38, 57, 94, 74, 80, 59, 60
Answer: Mean = 62.5, Median = 59.5, Range = 56
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1.
Number
Simplify: √240
Answer: 4√15
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2.
Algebra
Complete the square: x² - 3x - 10
Answer: (x - 3⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 24cm, angle = 62°. Give your answer to 2 decimal places
Answer: 148.34cm²
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4.
Ratio
a:b is 1:9 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 5:45:72
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5.
Statistics
Find the mean, median and range of: 70, 57, 56, 42, 67, 48, 92. Give your answer to 2 decimal places
Answer: Mean = 61.71, Median = 57, Range = 50