Change pack
Capstone
Aug 2 - 8
25 questions
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1.
Number
Simplify: √864
Answer: 12√6
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2.
Algebra
Complete the square: 3x² - 36x + 11
Answer: 3(x - 6)² - 97
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3.
Geometry
Find area of triangle: a = 14cm, b = 25cm, angle = 73°. Give your answer to 2 decimal places
Answer: 167.35cm²
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4.
Ratio
a:b is 7:2 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 35:10:2
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5.
Statistics
Find the mean, median and range of: 24, 23, 13, 16, 21, 99, 33, 24. Give your answer to 2 decimal places
Answer: Mean = 31.63, Median = 23.5, Range = 86
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1.
Number
Simplify: √637
Answer: 7√13
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2.
Algebra
Complete the square: 3x² + 24x - 13
Answer: 3(x + 4)² - 61
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3.
Geometry
Find area of triangle: a = 26cm, b = 22cm, angle = 68°. Give your answer to 2 decimal places
Answer: 265.17cm²
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4.
Ratio
a:b is 8:3 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 56:21:12
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5.
Statistics
Find the mean, median and range of: 48, 61, 36, 57, 50, 90, 42, 23. Give your answer to 2 decimal places
Answer: Mean = 50.88, Median = 49, Range = 67
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: x² - 7x - 6
Answer: (x - 7⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 27cm, angle = 44°. Give your answer to 2 decimal places
Answer: 150.05cm²
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4.
Ratio
a:b is 4:9 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 16:36:9
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5.
Statistics
Find the mean, median and range of: 95, 32, 43, 35, 56, 78, 25, 85. Give your answer to 2 decimal places
Answer: Mean = 56.13, Median = 49.5, Range = 70
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1.
Number
Simplify: √539
Answer: 7√11
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2.
Algebra
Complete the square: 5x² + 20x + 14
Answer: 5(x + 2)² - 6
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3.
Geometry
Find area of triangle: a = 23cm, b = 30cm, angle = 43°. Give your answer to 2 decimal places
Answer: 235.29cm²
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4.
Ratio
a:b is 6:7 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 54:63:49
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5.
Statistics
Find the mean, median and range of: 21, 52, 92, 26, 26, 34, 24, 15, 47. Give your answer to 2 decimal places
Answer: Mean = 37.44, Median = 26, Range = 77
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1.
Number
Simplify: √50
Answer: 5√2
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2.
Algebra
Complete the square: 4x² - 8x - 7
Answer: 4(x - 1)² - 11
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3.
Geometry
Find area of triangle: a = 12cm, b = 28cm, angle = 78°. Give your answer to 2 decimal places
Answer: 164.33cm²
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4.
Ratio
a:b is 2:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 18:45:5
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5.
Statistics
Find the mean, median and range of: 13, 98, 91, 35, 14, 38, 62, 97, 80. Give your answer to 2 decimal places
Answer: Mean = 58.67, Median = 62, Range = 85