Change pack
Capstone
Jun 27 - Jul 3
25 questions
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1.
Number
Simplify: 2√275
Answer: 10√11
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2.
Algebra
Complete the square: 5x² + 40x + 5
Answer: 5(x + 4)² - 75
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3.
Geometry
Find area of triangle: a = 20cm, b = 20cm, angle = 71°. Give your answer to 2 decimal places
Answer: 189.cm²
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4.
Ratio
a:b is 7:8 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 35:40:56
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5.
Statistics
Find the mean, median and range of: 35, 28, 70, 16, 35, 73, 33, 81. Give your answer to 2 decimal places
Answer: Mean = 46.38, Median = 35, Range = 65
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: x² - x + 10
Answer: (x - 1⁄2)² + 39⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 16cm, angle = 67°. Give your answer to 2 decimal places
Answer: 139.92cm²
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4.
Ratio
a:b is 3:2 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 15:10:8
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5.
Statistics
Find the mean, median and range of: 47, 42, 16, 46, 28, 67, 32. Give your answer to 2 decimal places
Answer: Mean = 39.71, Median = 42, Range = 51
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1.
Number
Simplify: 3√112
Answer: 12√7
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2.
Algebra
Complete the square: 4x² - 8x - 5
Answer: 4(x - 1)² - 9
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3.
Geometry
Find area of triangle: a = 17cm, b = 15cm, angle = 42°. Give your answer to 2 decimal places
Answer: 85.31cm²
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4.
Ratio
a:b is 4:7 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 20:35:56
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5.
Statistics
Find the mean, median and range of: 21, 100, 50, 95, 33, 95, 74. Give your answer to 2 decimal places
Answer: Mean = 66.86, Median = 74, Range = 79
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1.
Number
Simplify: √224
Answer: 4√14
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2.
Algebra
Complete the square: x² - 3x + 6
Answer: (x - 3⁄2)² + 15⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 27cm, angle = 58°. Give your answer to 2 decimal places
Answer: 251.87cm²
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4.
Ratio
a:b is 7:9 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 14:18:15
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5.
Statistics
Find the mean, median and range of: 16, 37, 66, 45, 29, 58, 16, 64. Give your answer to 2 decimal places
Answer: Mean = 41.38, Median = 41, Range = 50
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1.
Number
Simplify: 5√75
Answer: 25√3
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2.
Algebra
Complete the square: x² + 5x - 9
Answer: (x + 5⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 16cm, angle = 78°. Give your answer to 2 decimal places
Answer: 226.93cm²
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4.
Ratio
a:b is 3:4 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 9:12:10
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5.
Statistics
Find the mean, median and range of: 11, 76, 40, 91, 90, 11, 42. Give your answer to 2 decimal places
Answer: Mean = 51.57, Median = 42, Range = 80