Change pack
Capstone
Aug 10 - 16
25 questions
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1.
Number
Simplify: √539
Answer: 7√11
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2.
Algebra
Complete the square: 2x² - 20x + 3
Answer: 2(x - 5)² - 47
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3.
Geometry
Find area of triangle: a = 13cm, b = 23cm, angle = 75°. Give your answer to 2 decimal places
Answer: 144.41cm²
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4.
Ratio
a:b is 6:5 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 42:35:15
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5.
Statistics
Find the mean, median and range of: 27, 45, 23, 95, 62, 19, 55. Give your answer to 2 decimal places
Answer: Mean = 46.57, Median = 45, Range = 76
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: x² + 7x + 2
Answer: (x + 7⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 17cm, angle = 42°. Give your answer to 2 decimal places
Answer: 108.06cm²
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4.
Ratio
a:b is 6:5 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 24:20:45
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5.
Statistics
Find the mean, median and range of: 84, 63, 56, 96, 23, 63, 74, 92. Give your answer to 2 decimal places
Answer: Mean = 68.88, Median = 68.5, Range = 73
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1.
Number
Simplify: 2√24
Answer: 4√6
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2.
Algebra
Complete the square: 3x² + 30x - 12
Answer: 3(x + 5)² - 87
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3.
Geometry
Find area of triangle: a = 19cm, b = 19cm, angle = 62°. Give your answer to 2 decimal places
Answer: 159.37cm²
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4.
Ratio
a:b is 8:3 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 56:21:27
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5.
Statistics
Find the mean, median and range of: 73, 58, 39, 33, 70, 44, 55, 60, 52. Give your answer to 2 decimal places
Answer: Mean = 53.78, Median = 55, Range = 40
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1.
Number
Simplify: 3√44
Answer: 6√11
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2.
Algebra
Complete the square: 5x² + 20x - 5
Answer: 5(x + 2)² - 25
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3.
Geometry
Find area of triangle: a = 21cm, b = 19cm, angle = 64°. Give your answer to 2 decimal places
Answer: 179.31cm²
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4.
Ratio
a:b is 1:5 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 8:40:35
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5.
Statistics
Find the mean, median and range of: 75, 41, 89, 47, 97, 59, 76, 61, 82. Give your answer to 2 decimal places
Answer: Mean = 69.67, Median = 75, Range = 56
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: x² + 7x - 11
Answer: (x + 7⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 30cm, angle = 55°. Give your answer to 2 decimal places
Answer: 172.02cm²
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4.
Ratio
a:b is 3:8 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 21:56:16
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5.
Statistics
Find the mean, median and range of: 84, 19, 21, 92, 73, 42, 95, 57, 32. Give your answer to 2 decimal places
Answer: Mean = 57.22, Median = 57, Range = 76