Change pack
Capstone
Jun 10 - 16
25 questions
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: 5x² + 60x + 7
Answer: 5(x + 6)² - 173
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3.
Geometry
Find area of triangle: a = 21cm, b = 12cm, angle = 75°. Give your answer to 2 decimal places
Answer: 121.71cm²
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4.
Ratio
a:b is 8:7 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 40:35:56
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5.
Statistics
Find the mean, median and range of: 44, 44, 60, 91, 71, 35, 41, 45. Give your answer to 2 decimal places
Answer: Mean = 53.88, Median = 44.5, Range = 56
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: x² + 9x + 2
Answer: (x + 9⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 30cm, angle = 71°. Give your answer to 2 decimal places
Answer: 255.29cm²
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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: 36, 25, 29, 19, 13, 46, 74, 19, 78. Give your answer to 2 decimal places
Answer: Mean = 37.67, Median = 29, Range = 65
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1.
Number
Simplify: √864
Answer: 12√6
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2.
Algebra
Complete the square: 5x² + 20x + 7
Answer: 5(x + 2)² - 13
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3.
Geometry
Find area of triangle: a = 21cm, b = 26cm, angle = 71°. Give your answer to 2 decimal places
Answer: 258.13cm²
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4.
Ratio
a:b is 3:2 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 15:10:12
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5.
Statistics
Find the mean, median and range of: 56, 70, 42, 47, 62, 92, 27. Give your answer to 2 decimal places
Answer: Mean = 56.57, Median = 56, Range = 65
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1.
Number
Simplify: √396
Answer: 6√11
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2.
Algebra
Complete the square: x² - 9x - 11
Answer: (x - 9⁄2)² - 125⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 27cm, angle = 40°. Give your answer to 2 decimal places
Answer: 199.59cm²
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4.
Ratio
a:b is 1:9 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 4:36:63
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5.
Statistics
Find the mean, median and range of: 18, 81, 42, 92, 71, 21, 75, 22, 67. Give your answer to 2 decimal places
Answer: Mean = 54.33, Median = 67, Range = 74
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1.
Number
Simplify: √112
Answer: 4√7
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2.
Algebra
Complete the square: x² - 11x - 2
Answer: (x - 11⁄2)² - 129⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 29cm, angle = 54°. Give your answer to 2 decimal places
Answer: 316.73cm²
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4.
Ratio
a:b is 3:4 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 21:28:16
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5.
Statistics
Find the mean, median and range of: 67, 58, 17, 21, 70, 35, 54, 48, 92. Give your answer to 2 decimal places
Answer: Mean = 51.33, Median = 54, Range = 75