Change pack
Capstone
Sep 22 - 28
25 questions
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1.
Number
Simplify: 4√250
Answer: 20√10
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2.
Algebra
Complete the square: x² - 11x + 3
Answer: (x - 11⁄2)² - 109⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 20cm, angle = 67°. Give your answer to 2 decimal places
Answer: 257.74cm²
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4.
Ratio
a:b is 2:5 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 18:45:35
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5.
Statistics
Find the mean, median and range of: 79, 37, 69, 17, 71, 46, 19. Give your answer to 2 decimal places
Answer: Mean = 48.29, Median = 46, Range = 62
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1.
Number
Simplify: 5√24
Answer: 10√6
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2.
Algebra
Complete the square: 2x² - 8x - 11
Answer: 2(x - 2)² - 19
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3.
Geometry
Find area of triangle: a = 23cm, b = 28cm, angle = 44°. Give your answer to 2 decimal places
Answer: 223.68cm²
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4.
Ratio
a:b is 5:7 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 20:28:35
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5.
Statistics
Find the mean, median and range of: 48, 75, 13, 72, 99, 68, 98. Give your answer to 2 decimal places
Answer: Mean = 67.57, Median = 72, Range = 86
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1.
Number
Simplify: 5√275
Answer: 25√11
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2.
Algebra
Complete the square: 3x² - 6x + 15
Answer: 3(x - 1)² + 12
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3.
Geometry
Find area of triangle: a = 21cm, b = 26cm, angle = 77°. Give your answer to 2 decimal places
Answer: 266cm²
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4.
Ratio
a:b is 5:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 40:56:35
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5.
Statistics
Find the mean, median and range of: 82, 56, 31, 41, 14, 32, 67, 26. Give your answer to 2 decimal places
Answer: Mean = 43.63, Median = 36.5, Range = 68
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1.
Number
Simplify: √75
Answer: 5√3
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2.
Algebra
Complete the square: 2x² + 12x + 9
Answer: 2(x + 3)² - 9
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3.
Geometry
Find area of triangle: a = 13cm, b = 17cm, angle = 62°. Give your answer to 2 decimal places
Answer: 97.57cm²
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4.
Ratio
a:b is 5:7 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 25:35:21
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5.
Statistics
Find the mean, median and range of: 47, 34, 13, 75, 39, 16, 51, 36. Give your answer to 2 decimal places
Answer: Mean = 38.88, Median = 37.5, Range = 62
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: 3x² - 24x - 15
Answer: 3(x - 4)² - 63
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3.
Geometry
Find area of triangle: a = 28cm, b = 26cm, angle = 45°. Give your answer to 2 decimal places
Answer: 257.39cm²
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4.
Ratio
a:b is 4:3 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 32:24:3
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5.
Statistics
Find the mean, median and range of: 95, 42, 59, 18, 78, 15, 50
Answer: Mean = 51, Median = 50, Range = 80