Change pack
Capstone
Jan 15 - 21
25 questions
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1.
Number
Simplify: √567
Answer: 9√7
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2.
Algebra
Complete the square: x² + 5x + 10
Answer: (x + 5⁄2)² + 15⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 23cm, angle = 64°. Give your answer to 2 decimal places
Answer: 237.73cm²
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4.
Ratio
a:b is 1:4 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 3:12:32
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5.
Statistics
Find the mean, median and range of: 46, 53, 30, 56, 59, 11, 24, 17
Answer: Mean = 37, Median = 38, Range = 48
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1.
Number
Simplify: 4√63
Answer: 12√7
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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 = 16cm, b = 29cm, angle = 56°. Give your answer to 2 decimal places
Answer: 192.34cm²
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4.
Ratio
a:b is 4:5 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 24:30:25
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5.
Statistics
Find the mean, median and range of: 66, 29, 21, 20, 83, 93, 62. Give your answer to 2 decimal places
Answer: Mean = 53.43, Median = 62, Range = 73
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1.
Number
Simplify: √525
Answer: 5√21
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2.
Algebra
Complete the square: 3x² + 18x + 11
Answer: 3(x + 3)² - 16
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3.
Geometry
Find area of triangle: a = 15cm, b = 13cm, angle = 55°. Give your answer to 2 decimal places
Answer: 79.87cm²
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4.
Ratio
a:b is 7:9 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 35:45:27
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5.
Statistics
Find the mean, median and range of: 98, 70, 68, 100, 90, 32, 50. Give your answer to 2 decimal places
Answer: Mean = 72.57, Median = 70, Range = 68
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: 2x² + 20x + 6
Answer: 2(x + 5)² - 44
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3.
Geometry
Find area of triangle: a = 17cm, b = 18cm, angle = 65°. Give your answer to 2 decimal places
Answer: 138.67cm²
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4.
Ratio
a:b is 7:6 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 28:24:27
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5.
Statistics
Find the mean, median and range of: 81, 21, 67, 79, 95, 97, 67, 42. Give your answer to 2 decimal places
Answer: Mean = 68.63, Median = 73, Range = 76
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: 4x² - 8x - 9
Answer: 4(x - 1)² - 13
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3.
Geometry
Find area of triangle: a = 15cm, b = 27cm, angle = 60°. Give your answer to 2 decimal places
Answer: 175.37cm²
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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: 84, 14, 83, 57, 91, 71, 47. Give your answer to 2 decimal places
Answer: Mean = 63.86, Median = 71, Range = 77