Change pack
Capstone
Jan 20 - 26
25 questions
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1.
Number
Simplify: 4√54
Answer: 12√6
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2.
Algebra
Complete the square: x² - 5x - 3
Answer: (x - 5⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 22cm, angle = 44°. Give your answer to 2 decimal places
Answer: 99.34cm²
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4.
Ratio
a:b is 8:5 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 32:20:15
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5.
Statistics
Find the mean, median and range of: 23, 49, 39, 65, 53, 19, 85, 11
Answer: Mean = 43, Median = 44, Range = 74
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1.
Number
Simplify: 4√150
Answer: 20√6
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2.
Algebra
Complete the square: x² - 7x + 8
Answer: (x - 7⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 27cm, angle = 62°. Give your answer to 2 decimal places
Answer: 309.91cm²
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4.
Ratio
a:b is 5:9 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 25:45:81
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5.
Statistics
Find the mean, median and range of: 26, 81, 98, 27, 79, 51, 38. Give your answer to 2 decimal places
Answer: Mean = 57.14, Median = 51, Range = 72
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: x² + 3x + 4
Answer: (x + 3⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 15cm, angle = 78°. Give your answer to 2 decimal places
Answer: 212.75cm²
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4.
Ratio
a:b is 6:5 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 42:35:30
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5.
Statistics
Find the mean, median and range of: 17, 16, 41, 93, 15, 62, 11, 10, 51. Give your answer to 2 decimal places
Answer: Mean = 35.11, Median = 17, Range = 83
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1.
Number
Simplify: 3√275
Answer: 15√11
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2.
Algebra
Complete the square: x² + 3x - 10
Answer: (x + 3⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 21cm, angle = 44°. Give your answer to 2 decimal places
Answer: 196.94cm²
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4.
Ratio
a:b is 1:6 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 2:12:21
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5.
Statistics
Find the mean, median and range of: 19, 63, 88, 64, 18, 85, 86. Give your answer to 2 decimal places
Answer: Mean = 60.43, Median = 64, Range = 70
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: x² - 3x - 8
Answer: (x - 3⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 18cm, angle = 42°. Give your answer to 2 decimal places
Answer: 120.44cm²
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4.
Ratio
a:b is 7:5 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 14:10:35
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5.
Statistics
Find the mean, median and range of: 76, 10, 48, 69, 63, 71, 33, 82
Answer: Mean = 56.5, Median = 66, Range = 72