Change pack
Capstone
Oct 28 - Nov 3
25 questions
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1.
Number
Simplify: 2√18
Answer: 6√2
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2.
Algebra
Complete the square: 3x² + 36x
Answer: 3(x + 6)² - 108
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3.
Geometry
Find area of triangle: a = 30cm, b = 17cm, angle = 77°. Give your answer to 2 decimal places
Answer: 248.46cm²
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4.
Ratio
a:b is 9:7 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 27:21:35
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5.
Statistics
Find the mean, median and range of: 27, 59, 48, 10, 69, 44, 59, 75. Give your answer to 2 decimal places
Answer: Mean = 48.88, Median = 53.5, Range = 65
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: 3x² - 6x + 6
Answer: 3(x - 1)² + 3
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3.
Geometry
Find area of triangle: a = 23cm, b = 26cm, angle = 60°. Give your answer to 2 decimal places
Answer: 258.94cm²
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4.
Ratio
a:b is 3:4 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 15:20:36
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5.
Statistics
Find the mean, median and range of: 90, 65, 67, 27, 49, 23, 53, 96
Answer: Mean = 58.75, Median = 59, Range = 73
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1.
Number
Simplify: 3√150
Answer: 15√6
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2.
Algebra
Complete the square: 2x² - 12x - 7
Answer: 2(x - 3)² - 25
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3.
Geometry
Find area of triangle: a = 26cm, b = 12cm, angle = 63°. Give your answer to 2 decimal places
Answer: 139cm²
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4.
Ratio
a:b is 3:5 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 12:20:35
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5.
Statistics
Find the mean, median and range of: 69, 18, 39, 93, 31, 44, 48, 19. Give your answer to 2 decimal places
Answer: Mean = 45.13, Median = 41.5, Range = 75
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: 3x² - 24x - 9
Answer: 3(x - 4)² - 57
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3.
Geometry
Find area of triangle: a = 22cm, b = 26cm, angle = 57°. Give your answer to 2 decimal places
Answer: 239.86cm²
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4.
Ratio
a:b is 3:7 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 6:14:35
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5.
Statistics
Find the mean, median and range of: 14, 97, 45, 65, 16, 29, 56, 90
Answer: Mean = 51.5, Median = 50.5, Range = 83
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1.
Number
Simplify: √80
Answer: 4√5
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2.
Algebra
Complete the square: x² - x - 3
Answer: (x - 1⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 12cm, angle = 78°. Give your answer to 2 decimal places
Answer: 117.38cm²
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4.
Ratio
a:b is 7:5 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 49:35:45
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5.
Statistics
Find the mean, median and range of: 80, 22, 55, 75, 58, 10, 44. Give your answer to 2 decimal places
Answer: Mean = 49.14, Median = 55, Range = 70