Change pack
Capstone
Sep 13 - 19
25 questions
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1.
Number
Simplify: 3√176
Answer: 12√11
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2.
Algebra
Complete the square: x² + x + 7
Answer: (x + 1⁄2)² + 27⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 16cm, angle = 71°. Give your answer to 2 decimal places
Answer: 196.67cm²
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4.
Ratio
a:b is 5:3 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 35:21:12
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5.
Statistics
Find the mean, median and range of: 71, 81, 57, 56, 84, 38, 22. Give your answer to 2 decimal places
Answer: Mean = 58.43, Median = 57, Range = 62
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1.
Number
Simplify: 4√90
Answer: 12√10
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2.
Algebra
Complete the square: 4x² - 16x + 13
Answer: 4(x - 2)² - 3
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3.
Geometry
Find area of triangle: a = 20cm, b = 19cm, angle = 69°. Give your answer to 2 decimal places
Answer: 177.38cm²
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4.
Ratio
a:b is 1:4 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 5:20:36
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5.
Statistics
Find the mean, median and range of: 53, 64, 75, 88, 36, 29, 63, 10, 56. Give your answer to 2 decimal places
Answer: Mean = 52.67, Median = 56, Range = 78
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1.
Number
Simplify: √112
Answer: 4√7
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2.
Algebra
Complete the square: 3x² + 30x + 9
Answer: 3(x + 5)² - 66
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3.
Geometry
Find area of triangle: a = 13cm, b = 19cm, angle = 50°. Give your answer to 2 decimal places
Answer: 94.61cm²
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4.
Ratio
a:b is 5:3 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 20:12:9
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5.
Statistics
Find the mean, median and range of: 86, 77, 99, 99, 94, 90, 83, 84, 88. Give your answer to 2 decimal places
Answer: Mean = 88.89, Median = 88, Range = 22
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: x² + 3x - 8
Answer: (x + 3⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 29cm, angle = 43°. Give your answer to 2 decimal places
Answer: 237.34cm²
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4.
Ratio
a:b is 4:3 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 32:24:21
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5.
Statistics
Find the mean, median and range of: 67, 41, 70, 60, 73, 33, 43. Give your answer to 2 decimal places
Answer: Mean = 55.29, Median = 60, Range = 40
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1.
Number
Simplify: √200
Answer: 10√2
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2.
Algebra
Complete the square: 4x² + 32x + 15
Answer: 4(x + 4)² - 49
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3.
Geometry
Find area of triangle: a = 16cm, b = 25cm, angle = 65°. Give your answer to 2 decimal places
Answer: 181.26cm²
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4.
Ratio
a:b is 7:4 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 63:36:28
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5.
Statistics
Find the mean, median and range of: 91, 42, 31, 11, 66, 95, 58, 83. Give your answer to 2 decimal places
Answer: Mean = 59.63, Median = 62, Range = 84