Change pack
Capstone
Aug 16 - 22
25 questions
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1.
Number
Simplify: √539
Answer: 7√11
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2.
Algebra
Complete the square: 4x² + 32x - 14
Answer: 4(x + 4)² - 78
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3.
Geometry
Find area of triangle: a = 21cm, b = 26cm, angle = 50°. Give your answer to 2 decimal places
Answer: 209.13cm²
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4.
Ratio
a:b is 7:6 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 21:18:14
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5.
Statistics
Find the mean, median and range of: 33, 52, 31, 14, 77, 27, 78, 73. Give your answer to 2 decimal places
Answer: Mean = 48.13, Median = 42.5, Range = 64
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1.
Number
Simplify: √486
Answer: 9√6
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2.
Algebra
Complete the square: x² - x + 1
Answer: (x - 1⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 28cm, angle = 43°. Give your answer to 2 decimal places
Answer: 114.58cm²
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4.
Ratio
a:b is 6:7 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 18:21:14
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5.
Statistics
Find the mean, median and range of: 78, 11, 66, 37, 90, 31, 13. Give your answer to 2 decimal places
Answer: Mean = 46.57, Median = 37, Range = 79
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1.
Number
Simplify: √162
Answer: 9√2
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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 = 12cm, b = 18cm, angle = 62°. Give your answer to 2 decimal places
Answer: 95.36cm²
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4.
Ratio
a:b is 8:3 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 40:15:9
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5.
Statistics
Find the mean, median and range of: 86, 87, 59, 93, 36, 15, 26. Give your answer to 2 decimal places
Answer: Mean = 57.43, Median = 59, Range = 78
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: 3x² + 36x - 15
Answer: 3(x + 6)² - 123
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3.
Geometry
Find area of triangle: a = 28cm, b = 27cm, angle = 76°. Give your answer to 2 decimal places
Answer: 366.77cm²
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4.
Ratio
a:b is 1:9 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 7:63:45
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5.
Statistics
Find the mean, median and range of: 35, 36, 59, 29, 54, 24, 15, 23. Give your answer to 2 decimal places
Answer: Mean = 34.38, Median = 32, Range = 44
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1.
Number
Simplify: √864
Answer: 12√6
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2.
Algebra
Complete the square: 3x² + 30x - 8
Answer: 3(x + 5)² - 83
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3.
Geometry
Find area of triangle: a = 27cm, b = 24cm, angle = 68°. Give your answer to 2 decimal places
Answer: 300.41cm²
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4.
Ratio
a:b is 8:9 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 64:72:81
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5.
Statistics
Find the mean, median and range of: 39, 55, 52, 76, 70, 38, 14, 100, 56. Give your answer to 2 decimal places
Answer: Mean = 55.56, Median = 55, Range = 86