Change pack
Capstone
Apr 5 - 11
25 questions
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: 4x² - 32x - 5
Answer: 4(x - 4)² - 69
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3.
Geometry
Find area of triangle: a = 21cm, b = 25cm, angle = 68°. Give your answer to 2 decimal places
Answer: 243.39cm²
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4.
Ratio
a:b is 9:5 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 63:35:40
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5.
Statistics
Find the mean, median and range of: 96, 89, 78, 53, 46, 45, 13, 49. Give your answer to 2 decimal places
Answer: Mean = 58.63, Median = 51, Range = 83
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1.
Number
Simplify: √405
Answer: 9√5
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2.
Algebra
Complete the square: 3x² - 6x - 11
Answer: 3(x - 1)² - 14
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3.
Geometry
Find area of triangle: a = 13cm, b = 14cm, angle = 46°. Give your answer to 2 decimal places
Answer: 65.46cm²
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4.
Ratio
a:b is 9:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 72:56:35
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5.
Statistics
Find the mean, median and range of: 14, 94, 84, 35, 18, 51, 44. Give your answer to 2 decimal places
Answer: Mean = 48.57, Median = 44, Range = 80
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: 4x² + 16x + 5
Answer: 4(x + 2)² - 11
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3.
Geometry
Find area of triangle: a = 27cm, b = 14cm, angle = 55°. Give your answer to 2 decimal places
Answer: 154.82cm²
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4.
Ratio
a:b is 5:9 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 35:63:72
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5.
Statistics
Find the mean, median and range of: 40, 64, 57, 94, 44, 65, 39. Give your answer to 2 decimal places
Answer: Mean = 57.57, Median = 57, Range = 55
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1.
Number
Simplify: √350
Answer: 5√14
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2.
Algebra
Complete the square: x² + 5x
Answer: (x + 5⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 26cm, angle = 72°. Give your answer to 2 decimal places
Answer: 358.55cm²
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4.
Ratio
a:b is 7:8 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 21:24:32
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5.
Statistics
Find the mean, median and range of: 97, 91, 52, 63, 70, 42, 65. Give your answer to 2 decimal places
Answer: Mean = 68.57, Median = 65, Range = 55
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1.
Number
Simplify: 3√275
Answer: 15√11
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2.
Algebra
Complete the square: 2x² - 4x - 7
Answer: 2(x - 1)² - 9
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3.
Geometry
Find area of triangle: a = 27cm, b = 19cm, angle = 46°. Give your answer to 2 decimal places
Answer: 184.51cm²
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4.
Ratio
a:b is 9:8 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 81:72:8
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5.
Statistics
Find the mean, median and range of: 69, 59, 74, 29, 48, 13, 90, 10, 46. Give your answer to 2 decimal places
Answer: Mean = 48.67, Median = 48, Range = 80