Change pack
Capstone
Oct 4 - 10
25 questions
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: 5x² - 10x - 12
Answer: 5(x - 1)² - 17
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3.
Geometry
Find area of triangle: a = 21cm, b = 24cm, angle = 41°. Give your answer to 2 decimal places
Answer: 165.33cm²
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4.
Ratio
a:b is 4:5 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 16:20:15
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5.
Statistics
Find the mean, median and range of: 99, 67, 42, 64, 10, 41, 46, 93, 65. Give your answer to 2 decimal places
Answer: Mean = 58.56, Median = 64, Range = 89
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: x² - 9x + 12
Answer: (x - 9⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 12cm, angle = 55°. Give your answer to 2 decimal places
Answer: 127.79cm²
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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: 64, 30, 27, 58, 17, 66, 86, 20
Answer: Mean = 46, Median = 44, Range = 69
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1.
Number
Simplify: √250
Answer: 5√10
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2.
Algebra
Complete the square: x² + 11x + 4
Answer: (x + 11⁄2)² - 105⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 24cm, angle = 62°. Give your answer to 2 decimal places
Answer: 180.12cm²
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4.
Ratio
a:b is 9:8 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 45:40:16
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5.
Statistics
Find the mean, median and range of: 53, 30, 54, 80, 45, 84, 35. Give your answer to 2 decimal places
Answer: Mean = 54.43, Median = 53, Range = 54
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1.
Number
Simplify: √304
Answer: 4√19
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2.
Algebra
Complete the square: x² - 11x + 4
Answer: (x - 11⁄2)² - 105⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 26cm, angle = 45°. Give your answer to 2 decimal places
Answer: 137.89cm²
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4.
Ratio
a:b is 5:9 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 35:63:45
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5.
Statistics
Find the mean, median and range of: 66, 85, 51, 39, 22, 57, 71, 24. Give your answer to 2 decimal places
Answer: Mean = 51.88, Median = 54, Range = 63
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1.
Number
Simplify: √486
Answer: 9√6
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2.
Algebra
Complete the square: 3x² - 18x - 11
Answer: 3(x - 3)² - 38
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3.
Geometry
Find area of triangle: a = 27cm, b = 29cm, angle = 48°. Give your answer to 2 decimal places
Answer: 290.94cm²
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4.
Ratio
a:b is 8:5 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 56:35:30
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5.
Statistics
Find the mean, median and range of: 26, 53, 35, 97, 93, 51, 17. Give your answer to 2 decimal places
Answer: Mean = 53.14, Median = 51, Range = 80