Change pack
Capstone
Feb 12 - 18
25 questions
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1.
Number
Simplify: 5√96
Answer: 20√6
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2.
Algebra
Complete the square: x² - x - 4
Answer: (x - 1⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 22cm, angle = 72°. Give your answer to 2 decimal places
Answer: 313.85cm²
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4.
Ratio
a:b is 2:3 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 16:24:21
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5.
Statistics
Find the mean, median and range of: 15, 81, 44, 33, 11, 38, 100
Answer: Mean = 46, Median = 38, Range = 89
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1.
Number
Simplify: 5√250
Answer: 25√10
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2.
Algebra
Complete the square: 4x² + 8x + 14
Answer: 4(x + 1)² + 10
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3.
Geometry
Find area of triangle: a = 21cm, b = 16cm, angle = 72°. Give your answer to 2 decimal places
Answer: 159.78cm²
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4.
Ratio
a:b is 4:3 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 20:15:6
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5.
Statistics
Find the mean, median and range of: 83, 53, 34, 42, 95, 51, 53, 88, 26. Give your answer to 2 decimal places
Answer: Mean = 58.33, Median = 53, Range = 69
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: 2x² + 4x - 2
Answer: 2(x + 1)² - 4
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3.
Geometry
Find area of triangle: a = 13cm, b = 13cm, angle = 51°. Give your answer to 2 decimal places
Answer: 65.67cm²
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4.
Ratio
a:b is 9:7 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 45:35:28
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5.
Statistics
Find the mean, median and range of: 16, 11, 53, 52, 78, 59, 74, 36, 12. Give your answer to 2 decimal places
Answer: Mean = 43.44, Median = 52, Range = 67
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1.
Number
Simplify: √550
Answer: 5√22
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2.
Algebra
Complete the square: x² - 3x - 3
Answer: (x - 3⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 14cm, angle = 67°. Give your answer to 2 decimal places
Answer: 109.54cm²
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4.
Ratio
a:b is 2:5 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 16:40:35
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5.
Statistics
Find the mean, median and range of: 25, 78, 31, 45, 66, 53, 15. Give your answer to 2 decimal places
Answer: Mean = 44.71, Median = 45, Range = 63
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1.
Number
Simplify: 3√28
Answer: 6√7
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2.
Algebra
Complete the square: 4x² + 40x + 8
Answer: 4(x + 5)² - 92
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3.
Geometry
Find area of triangle: a = 26cm, b = 16cm, angle = 74°. Give your answer to 2 decimal places
Answer: 199.94cm²
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4.
Ratio
a:b is 2:3 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 4:6:9
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5.
Statistics
Find the mean, median and range of: 70, 55, 68, 41, 77, 53, 89, 77, 37
Answer: Mean = 63, Median = 68, Range = 52