Change pack
Capstone
Mar 29 - Apr 4
25 questions
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1.
Number
Simplify: √242
Answer: 11√2
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2.
Algebra
Complete the square: 3x² - 36x - 8
Answer: 3(x - 6)² - 116
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3.
Geometry
Find area of triangle: a = 26cm, b = 17cm, angle = 64°. Give your answer to 2 decimal places
Answer: 198.63cm²
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4.
Ratio
a:b is 7:3 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 49:21:15
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5.
Statistics
Find the mean, median and range of: 73, 91, 85, 79, 75, 55, 37, 32. Give your answer to 2 decimal places
Answer: Mean = 65.88, Median = 74, Range = 59
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1.
Number
Simplify: 3√275
Answer: 15√11
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2.
Algebra
Complete the square: 3x² + 6x - 8
Answer: 3(x + 1)² - 11
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3.
Geometry
Find area of triangle: a = 13cm, b = 28cm, angle = 49°. Give your answer to 2 decimal places
Answer: 137.36cm²
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4.
Ratio
a:b is 1:4 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 7:28:20
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5.
Statistics
Find the mean, median and range of: 90, 82, 33, 71, 30, 99, 61, 37. Give your answer to 2 decimal places
Answer: Mean = 62.88, Median = 66, Range = 69
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: 3x² - 30x + 13
Answer: 3(x - 5)² - 62
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3.
Geometry
Find area of triangle: a = 29cm, b = 25cm, angle = 75°. Give your answer to 2 decimal places
Answer: 350.15cm²
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4.
Ratio
a:b is 1:4 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 3:12:28
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5.
Statistics
Find the mean, median and range of: 47, 24, 52, 85, 82, 61, 42, 58. Give your answer to 2 decimal places
Answer: Mean = 56.38, Median = 55, Range = 61
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: x² - 7x + 12
Answer: (x - 7⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 27cm, angle = 57°. Give your answer to 2 decimal places
Answer: 215.12cm²
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4.
Ratio
a:b is 5:7 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 25:35:56
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5.
Statistics
Find the mean, median and range of: 26, 87, 66, 31, 70, 61, 84. Give your answer to 2 decimal places
Answer: Mean = 60.71, Median = 66, Range = 61
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: x² + 3.4x
Answer: (x + 1.7)² - 2.89
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3.
Geometry
Find area of triangle: a = 27cm, b = 18cm, angle = 65°
Answer: 220.2cm²
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4.
Ratio
a:b is 3:4 and b:c is 2:5. Find a:b:c.
Answer: 3:4:10
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5.
Statistics
Find the mean, median and range of: 32, 94, 89, 67, 35, 39, 33
Answer: Mean = 55.6, Median = 39, Range = 62