Change pack
Capstone
Mar 14 - 20
25 questions
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: 2x² + 16x + 14
Answer: 2(x + 4)² - 18
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3.
Geometry
Find area of triangle: a = 18cm, b = 18cm, angle = 64°. Give your answer to 2 decimal places
Answer: 145.6cm²
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4.
Ratio
a:b is 1:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 8:56:35
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5.
Statistics
Find the mean, median and range of: 86, 18, 50, 41, 81, 46, 89, 97
Answer: Mean = 63.5, Median = 65.5, Range = 79
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: 5x² + 40x + 14
Answer: 5(x + 4)² - 66
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3.
Geometry
Find area of triangle: a = 12cm, b = 14cm, angle = 75°. Give your answer to 2 decimal places
Answer: 81.14cm²
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4.
Ratio
a:b is 7:5 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 28:20:35
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5.
Statistics
Find the mean, median and range of: 17, 88, 97, 81, 72, 100, 37, 10, 73. Give your answer to 2 decimal places
Answer: Mean = 63.89, Median = 73, Range = 90
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: 3x² + 12x + 11
Answer: 3(x + 2)² - 1
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3.
Geometry
Find area of triangle: a = 22cm, b = 24cm, angle = 55°. Give your answer to 2 decimal places
Answer: 216.26cm²
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4.
Ratio
a:b is 9:8 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 27:24:4
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5.
Statistics
Find the mean, median and range of: 37, 85, 71, 50, 67, 17, 85, 64
Answer: Mean = 59.5, Median = 65.5, Range = 68
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1.
Number
Simplify: 4√20
Answer: 8√5
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2.
Algebra
Complete the square: x² - 7x + 7
Answer: (x - 7⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 23cm, angle = 41°. Give your answer to 2 decimal places
Answer: 135.8cm²
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4.
Ratio
a:b is 5:4 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 45:36:28
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5.
Statistics
Find the mean, median and range of: 26, 34, 27, 48, 90, 89, 53, 49, 98. Give your answer to 2 decimal places
Answer: Mean = 57.11, Median = 49, Range = 72
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1.
Number
Simplify: √180
Answer: 6√5
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2.
Algebra
Complete the square: 2x² - 8x + 2
Answer: 2(x - 2)² - 6
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3.
Geometry
Find area of triangle: a = 22cm, b = 30cm, angle = 69°. Give your answer to 2 decimal places
Answer: 308.08cm²
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4.
Ratio
a:b is 6:7 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 24:28:49
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5.
Statistics
Find the mean, median and range of: 95, 74, 56, 97, 82, 89, 79, 63, 87. Give your answer to 2 decimal places
Answer: Mean = 80.22, Median = 82, Range = 41