Change pack
Capstone
Dec 24 - 30
25 questions
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1.
Number
Simplify: √50
Answer: 5√2
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2.
Algebra
Complete the square: 5x² + 30x + 5
Answer: 5(x + 3)² - 40
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3.
Geometry
Find area of triangle: a = 24cm, b = 27cm, angle = 50°. Give your answer to 2 decimal places
Answer: 248.2cm²
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4.
Ratio
a:b is 8:3 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 56:21:18
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5.
Statistics
Find the mean, median and range of: 59, 44, 93, 51, 30, 81, 36, 34, 46. Give your answer to 2 decimal places
Answer: Mean = 52.67, Median = 46, Range = 63
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: 5x² - 50x + 15
Answer: 5(x - 5)² - 110
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3.
Geometry
Find area of triangle: a = 15cm, b = 18cm, angle = 67°. Give your answer to 2 decimal places
Answer: 124.27cm²
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4.
Ratio
a:b is 4:3 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 28:21:15
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5.
Statistics
Find the mean, median and range of: 39, 81, 35, 43, 47, 31, 11, 15, 37. Give your answer to 2 decimal places
Answer: Mean = 37.67, Median = 37, Range = 70
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1.
Number
Simplify: √180
Answer: 6√5
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2.
Algebra
Complete the square: 3x² - 24x + 8
Answer: 3(x - 4)² - 40
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3.
Geometry
Find area of triangle: a = 15cm, b = 12cm, angle = 70°. Give your answer to 2 decimal places
Answer: 84.57cm²
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4.
Ratio
a:b is 7:4 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 35:20:36
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5.
Statistics
Find the mean, median and range of: 55, 74, 31, 98, 96, 28, 38, 65, 34. Give your answer to 2 decimal places
Answer: Mean = 57.67, Median = 55, Range = 70
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1.
Number
Simplify: 5√275
Answer: 25√11
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2.
Algebra
Complete the square: 4x² + 40x + 5
Answer: 4(x + 5)² - 95
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3.
Geometry
Find area of triangle: a = 18cm, b = 14cm, angle = 59°. Give your answer to 2 decimal places
Answer: 108cm²
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4.
Ratio
a:b is 7:2 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 49:14:18
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5.
Statistics
Find the mean, median and range of: 26, 71, 72, 13, 79, 38, 23
Answer: Mean = 46, Median = 38, Range = 66
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1.
Number
Simplify: √500
Answer: 10√5
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2.
Algebra
Complete the square: 4x² - 16x - 2
Answer: 4(x - 2)² - 18
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3.
Geometry
Find area of triangle: a = 21cm, b = 26cm, angle = 79°. Give your answer to 2 decimal places
Answer: 267.98cm²
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4.
Ratio
a:b is 4:3 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 8:6:9
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5.
Statistics
Find the mean, median and range of: 36, 81, 44, 19, 98, 58, 90, 77. Give your answer to 2 decimal places
Answer: Mean = 62.88, Median = 67.5, Range = 79