Change pack
Capstone
Aug 25 - 31
25 questions
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: x² + x + 4
Answer: (x + 1⁄2)² + 15⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 12cm, angle = 40°. Give your answer to 2 decimal places
Answer: 107.99cm²
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4.
Ratio
a:b is 9:2 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 45:10:6
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5.
Statistics
Find the mean, median and range of: 35, 38, 28, 35, 14, 100, 80, 64, 29
Answer: Mean = 47, Median = 35, Range = 86
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1.
Number
Simplify: 3√18
Answer: 9√2
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2.
Algebra
Complete the square: 4x² - 8x + 13
Answer: 4(x - 1)² + 9
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3.
Geometry
Find area of triangle: a = 29cm, b = 21cm, angle = 50°. Give your answer to 2 decimal places
Answer: 233.26cm²
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4.
Ratio
a:b is 7:9 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 49:63:81
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5.
Statistics
Find the mean, median and range of: 18, 47, 31, 92, 64, 21, 45. Give your answer to 2 decimal places
Answer: Mean = 45.43, Median = 45, Range = 74
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1.
Number
Simplify: √396
Answer: 6√11
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2.
Algebra
Complete the square: x² - 5x - 7
Answer: (x - 5⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 17cm, angle = 43°. Give your answer to 2 decimal places
Answer: 98.55cm²
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4.
Ratio
a:b is 1:7 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 3:21:14
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5.
Statistics
Find the mean, median and range of: 38, 53, 13, 74, 13, 56, 24, 39
Answer: Mean = 38.75, Median = 38.5, Range = 61
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1.
Number
Simplify: √360
Answer: 6√10
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2.
Algebra
Complete the square: 4x² - 40x + 6
Answer: 4(x - 5)² - 94
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3.
Geometry
Find area of triangle: a = 30cm, b = 20cm, angle = 63°. Give your answer to 2 decimal places
Answer: 267.3cm²
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4.
Ratio
a:b is 1:4 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 3:12:20
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5.
Statistics
Find the mean, median and range of: 40, 49, 97, 26, 14, 17, 21. Give your answer to 2 decimal places
Answer: Mean = 37.71, Median = 26, Range = 83
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: x² - 3x - 7
Answer: (x - 3⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 15cm, angle = 65°. Give your answer to 2 decimal places
Answer: 203.92cm²
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4.
Ratio
a:b is 5:8 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 35:56:16
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5.
Statistics
Find the mean, median and range of: 83, 61, 22, 89, 31, 47, 52
Answer: Mean = 55, Median = 52, Range = 67