Change pack
Capstone
Oct 19 - 25
25 questions
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1.
Number
Simplify: 5√12
Answer: 10√3
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2.
Algebra
Complete the square: 3x² - 18x - 7
Answer: 3(x - 3)² - 34
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3.
Geometry
Find area of triangle: a = 17cm, b = 25cm, angle = 54°. Give your answer to 2 decimal places
Answer: 171.92cm²
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4.
Ratio
a:b is 4:3 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 32:24:9
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5.
Statistics
Find the mean, median and range of: 28, 31, 31, 11, 32, 37, 14. Give your answer to 2 decimal places
Answer: Mean = 26.29, Median = 31, Range = 26
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1.
Number
Simplify: 4√32
Answer: 16√2
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2.
Algebra
Complete the square: 2x² - 16x - 12
Answer: 2(x - 4)² - 44
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3.
Geometry
Find area of triangle: a = 26cm, b = 22cm, angle = 72°. Give your answer to 2 decimal places
Answer: 272cm²
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4.
Ratio
a:b is 9:5 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 18:10:5
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5.
Statistics
Find the mean, median and range of: 49, 30, 12, 43, 96, 15, 38, 39, 100. Give your answer to 2 decimal places
Answer: Mean = 46.89, Median = 39, Range = 88
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1.
Number
Simplify: 2√160
Answer: 8√10
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2.
Algebra
Complete the square: 4x² + 32x - 8
Answer: 4(x + 4)² - 72
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3.
Geometry
Find area of triangle: a = 27cm, b = 14cm, angle = 65°. Give your answer to 2 decimal places
Answer: 171.29cm²
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4.
Ratio
a:b is 7:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 35:45:54
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5.
Statistics
Find the mean, median and range of: 32, 58, 94, 50, 31, 72, 30, 85
Answer: Mean = 56.5, Median = 54, Range = 64
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1.
Number
Simplify: √32
Answer: 4√2
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2.
Algebra
Complete the square: 3x² + 12x + 2
Answer: 3(x + 2)² - 10
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3.
Geometry
Find area of triangle: a = 28cm, b = 18cm, angle = 56°. Give your answer to 2 decimal places
Answer: 208.92cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 56:63:72
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5.
Statistics
Find the mean, median and range of: 98, 32, 83, 71, 64, 26, 64. Give your answer to 2 decimal places
Answer: Mean = 62.57, Median = 64, Range = 72
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1.
Number
Simplify: √96
Answer: 4√6
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2.
Algebra
Complete the square: 5x² + 30x + 2
Answer: 5(x + 3)² - 43
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3.
Geometry
Find area of triangle: a = 25cm, b = 24cm, angle = 61°. Give your answer to 2 decimal places
Answer: 262.39cm²
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4.
Ratio
a:b is 7:8 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 21:24:8
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5.
Statistics
Find the mean, median and range of: 15, 76, 18, 45, 53, 61, 16, 76, 10. Give your answer to 2 decimal places
Answer: Mean = 41.11, Median = 45, Range = 66