Change pack
Capstone
Aug 27 - Sep 2
25 questions
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1.
Number
Simplify: 3√24
Answer: 6√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 = 25cm, b = 15cm, angle = 71°. Give your answer to 2 decimal places
Answer: 177.28cm²
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4.
Ratio
a:b is 1:9 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 2:18:15
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5.
Statistics
Find the mean, median and range of: 21, 34, 61, 61, 30, 47, 100, 55, 27. Give your answer to 2 decimal places
Answer: Mean = 48.44, Median = 47, Range = 79
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1.
Number
Simplify: √550
Answer: 5√22
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2.
Algebra
Complete the square: 5x² - 60x - 11
Answer: 5(x - 6)² - 191
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3.
Geometry
Find area of triangle: a = 23cm, b = 17cm, angle = 57°. Give your answer to 2 decimal places
Answer: 163.96cm²
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4.
Ratio
a:b is 9:4 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 81:36:16
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5.
Statistics
Find the mean, median and range of: 16, 20, 24, 66, 20, 24, 88. Give your answer to 2 decimal places
Answer: Mean = 36.86, Median = 24, Range = 72
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1.
Number
Simplify: √252
Answer: 6√7
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2.
Algebra
Complete the square: x² - 9x
Answer: (x - 9⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 21cm, angle = 48°. Give your answer to 2 decimal places
Answer: 148.26cm²
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4.
Ratio
a:b is 9:5 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 54:30:25
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5.
Statistics
Find the mean, median and range of: 66, 57, 76, 66, 47, 69, 75. Give your answer to 2 decimal places
Answer: Mean = 65.14, Median = 66, Range = 29
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1.
Number
Simplify: 5√48
Answer: 20√3
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2.
Algebra
Complete the square: 5x² + 40x - 8
Answer: 5(x + 4)² - 88
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3.
Geometry
Find area of triangle: a = 27cm, b = 13cm, angle = 53°. Give your answer to 2 decimal places
Answer: 140.16cm²
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4.
Ratio
a:b is 7:8 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 63:72:56
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5.
Statistics
Find the mean, median and range of: 41, 18, 20, 40, 12, 26, 57, 20, 40. Give your answer to 2 decimal places
Answer: Mean = 30.44, Median = 26, Range = 45
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: 4x² - 40x - 14
Answer: 4(x - 5)² - 114
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3.
Geometry
Find area of triangle: a = 20cm, b = 14cm, angle = 60°. Give your answer to 2 decimal places
Answer: 121.24cm²
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4.
Ratio
a:b is 2:7 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 16:56:63
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5.
Statistics
Find the mean, median and range of: 65, 25, 53, 49, 65, 22, 89, 84, 23. Give your answer to 2 decimal places
Answer: Mean = 52.78, Median = 53, Range = 67