Change pack
Capstone
Sep 30 - Oct 6
25 questions
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: 2x² + 12x + 4
Answer: 2(x + 3)² - 14
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3.
Geometry
Find area of triangle: a = 13cm, b = 25cm, angle = 45°. Give your answer to 2 decimal places
Answer: 114.9cm²
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4.
Ratio
a:b is 6:7 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 18:21:35
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5.
Statistics
Find the mean, median and range of: 86, 53, 15, 19, 74, 91, 73, 54, 96. Give your answer to 2 decimal places
Answer: Mean = 62.33, Median = 73, Range = 81
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: 3x² - 24x - 1
Answer: 3(x - 4)² - 49
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3.
Geometry
Find area of triangle: a = 19cm, b = 28cm, angle = 61°. Give your answer to 2 decimal places
Answer: 232.65cm²
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4.
Ratio
a:b is 7:5 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 49:35:40
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5.
Statistics
Find the mean, median and range of: 67, 45, 74, 10, 67, 17, 59. Give your answer to 2 decimal places
Answer: Mean = 48.43, Median = 59, Range = 64
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1.
Number
Simplify: 2√48
Answer: 8√3
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2.
Algebra
Complete the square: 4x² - 32x
Answer: 4(x - 4)² - 64
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3.
Geometry
Find area of triangle: a = 30cm, b = 18cm, angle = 70°. Give your answer to 2 decimal places
Answer: 253.72cm²
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4.
Ratio
a:b is 4:5 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 36:45:20
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5.
Statistics
Find the mean, median and range of: 26, 40, 70, 91, 19, 48, 99. Give your answer to 2 decimal places
Answer: Mean = 56.14, Median = 48, Range = 80
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1.
Number
Simplify: 5√75
Answer: 25√3
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2.
Algebra
Complete the square: x² + 9x + 9
Answer: (x + 9⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 30cm, angle = 70°. Give your answer to 2 decimal places
Answer: 253.72cm²
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4.
Ratio
a:b is 9:5 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 81:45:10
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5.
Statistics
Find the mean, median and range of: 47, 20, 62, 39, 52, 83, 26
Answer: Mean = 47, Median = 47, Range = 63
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1.
Number
Simplify: √486
Answer: 9√6
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2.
Algebra
Complete the square: x² + x
Answer: (x + 1⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 23cm, angle = 47°. Give your answer to 2 decimal places
Answer: 100.93cm²
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4.
Ratio
a:b is 2:9 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 16:72:63
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5.
Statistics
Find the mean, median and range of: 33, 84, 41, 77, 10, 50, 44. Give your answer to 2 decimal places
Answer: Mean = 48.43, Median = 44, Range = 74