Change pack
Capstone
Oct 6 - 12
25 questions
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1.
Number
Simplify: √360
Answer: 6√10
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2.
Algebra
Complete the square: x² - 9x - 9
Answer: (x - 9⁄2)² - 117⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 21cm, angle = 40°. Give your answer to 2 decimal places
Answer: 128.24cm²
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4.
Ratio
a:b is 5:4 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 25:20:24
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5.
Statistics
Find the mean, median and range of: 35, 69, 79, 78, 75, 81, 71, 94, 47. Give your answer to 2 decimal places
Answer: Mean = 69.89, Median = 75, Range = 59
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: 2x² - 16x - 9
Answer: 2(x - 4)² - 41
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3.
Geometry
Find area of triangle: a = 20cm, b = 30cm, angle = 61°. Give your answer to 2 decimal places
Answer: 262.39cm²
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4.
Ratio
a:b is 3:5 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 12:20:15
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5.
Statistics
Find the mean, median and range of: 11, 67, 19, 99, 18, 65, 38, 77, 68. Give your answer to 2 decimal places
Answer: Mean = 51.33, Median = 65, Range = 88
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1.
Number
Simplify: 3√44
Answer: 6√11
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2.
Algebra
Complete the square: 4x² + 16x - 13
Answer: 4(x + 2)² - 29
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3.
Geometry
Find area of triangle: a = 15cm, b = 22cm, angle = 62°. Give your answer to 2 decimal places
Answer: 145.69cm²
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4.
Ratio
a:b is 3:7 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 15:35:56
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5.
Statistics
Find the mean, median and range of: 24, 51, 77, 71, 91, 43, 73, 72, 24. Give your answer to 2 decimal places
Answer: Mean = 58.44, Median = 71, Range = 67
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: 4x² + 24x - 3
Answer: 4(x + 3)² - 39
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3.
Geometry
Find area of triangle: a = 17cm, b = 20cm, angle = 40°. Give your answer to 2 decimal places
Answer: 109.27cm²
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4.
Ratio
a:b is 2:9 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 4:18:9
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5.
Statistics
Find the mean, median and range of: 58, 29, 38, 36, 16, 36, 88, 61
Answer: Mean = 45.25, Median = 37, Range = 72
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: 2x² + 24x - 1
Answer: 2(x + 6)² - 73
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3.
Geometry
Find area of triangle: a = 27cm, b = 18cm, angle = 65°. Give your answer to 2 decimal places
Answer: 220.23cm²
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4.
Ratio
a:b is 5:8 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 15:24:56
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5.
Statistics
Find the mean, median and range of: 32, 23, 19, 73, 28, 38, 91, 100, 85. Give your answer to 2 decimal places
Answer: Mean = 54.33, Median = 38, Range = 81