Change pack
Capstone
Nov 15 - 21
25 questions
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: 3x² - 18x + 8
Answer: 3(x - 3)² - 19
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3.
Geometry
Find area of triangle: a = 29cm, b = 14cm, angle = 78°. Give your answer to 2 decimal places
Answer: 198.56cm²
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4.
Ratio
a:b is 9:5 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 81:45:10
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5.
Statistics
Find the mean, median and range of: 17, 25, 26, 32, 48, 15, 65, 81, 45. Give your answer to 2 decimal places
Answer: Mean = 39.33, Median = 32, Range = 66
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1.
Number
Simplify: 3√54
Answer: 9√6
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2.
Algebra
Complete the square: x² + x - 12
Answer: (x + 1⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 12cm, angle = 70°. Give your answer to 2 decimal places
Answer: 135.32cm²
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4.
Ratio
a:b is 6:5 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 42:35:20
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5.
Statistics
Find the mean, median and range of: 96, 31, 39, 59, 19, 89, 14, 85, 47. Give your answer to 2 decimal places
Answer: Mean = 53.22, Median = 47, Range = 82
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1.
Number
Simplify: 3√48
Answer: 12√3
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2.
Algebra
Complete the square: 4x² + 16x + 14
Answer: 4(x + 2)² - 2
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3.
Geometry
Find area of triangle: a = 24cm, b = 13cm, angle = 60°. Give your answer to 2 decimal places
Answer: 135.cm²
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4.
Ratio
a:b is 8:3 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 56:21:24
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5.
Statistics
Find the mean, median and range of: 37, 16, 41, 52, 40, 35, 69. Give your answer to 2 decimal places
Answer: Mean = 41.43, Median = 40, Range = 53
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: 2x² + 4x
Answer: 2(x + 1)² - 2
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3.
Geometry
Find area of triangle: a = 29cm, b = 22cm, angle = 44°. Give your answer to 2 decimal places
Answer: 221.6cm²
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4.
Ratio
a:b is 8:7 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 48:42:49
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5.
Statistics
Find the mean, median and range of: 29, 40, 82, 58, 16, 68, 35. Give your answer to 2 decimal places
Answer: Mean = 46.86, Median = 40, Range = 66
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1.
Number
Simplify: 2√275
Answer: 10√11
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2.
Algebra
Complete the square: x² - 7x + 5
Answer: (x - 7⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 16cm, angle = 49°. Give your answer to 2 decimal places
Answer: 181.13cm²
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4.
Ratio
a:b is 3:5 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 24:40:15
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5.
Statistics
Find the mean, median and range of: 21, 10, 100, 24, 70, 14, 36, 17, 41
Answer: Mean = 37, Median = 24, Range = 90