Change pack
Capstone
Dec 29 - Jan 4
25 questions
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1.
Number
Simplify: 5√18
Answer: 15√2
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2.
Algebra
Complete the square: x² - 7x - 12
Answer: (x - 7⁄2)² - 97⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 17cm, angle = 62°. Give your answer to 2 decimal places
Answer: 150.cm²
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4.
Ratio
a:b is 8:9 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 16:18:27
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5.
Statistics
Find the mean, median and range of: 23, 76, 57, 71, 47, 86, 51. Give your answer to 2 decimal places
Answer: Mean = 58.71, Median = 57, Range = 63
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1.
Number
Simplify: 3√75
Answer: 15√3
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2.
Algebra
Complete the square: x² - 3x
Answer: (x - 3⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 25cm, angle = 58°. Give your answer to 2 decimal places
Answer: 265.02cm²
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4.
Ratio
a:b is 4:3 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 20:15:6
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5.
Statistics
Find the mean, median and range of: 83, 13, 43, 75, 48, 44, 73. Give your answer to 2 decimal places
Answer: Mean = 54.14, Median = 48, Range = 70
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: 3x² + 12x - 15
Answer: 3(x + 2)² - 27
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3.
Geometry
Find area of triangle: a = 26cm, b = 23cm, angle = 76°. Give your answer to 2 decimal places
Answer: 290.12cm²
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4.
Ratio
a:b is 3:8 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 27:72:32
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5.
Statistics
Find the mean, median and range of: 14, 42, 75, 52, 22, 34, 51. Give your answer to 2 decimal places
Answer: Mean = 41.43, Median = 42, Range = 61
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: 3x² + 24x + 12
Answer: 3(x + 4)² - 36
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3.
Geometry
Find area of triangle: a = 25cm, b = 28cm, angle = 64°. Give your answer to 2 decimal places
Answer: 314.58cm²
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4.
Ratio
a:b is 6:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 18:21:49
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5.
Statistics
Find the mean, median and range of: 78, 44, 63, 33, 88, 81, 68, 25, 24
Answer: Mean = 56, Median = 63, Range = 64
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1.
Number
Simplify: √176
Answer: 4√11
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2.
Algebra
Complete the square: 3x² + 24x - 9
Answer: 3(x + 4)² - 57
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3.
Geometry
Find area of triangle: a = 27cm, b = 21cm, angle = 77°. Give your answer to 2 decimal places
Answer: 276.23cm²
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4.
Ratio
a:b is 1:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 3:21:49
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5.
Statistics
Find the mean, median and range of: 60, 72, 67, 84, 60, 28, 89. Give your answer to 2 decimal places
Answer: Mean = 65.71, Median = 67, Range = 61