Change pack
Capstone
Mar 9 - 15
25 questions
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1.
Number
Simplify: √112
Answer: 4√7
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2.
Algebra
Complete the square: x² - 5x - 4
Answer: (x - 5⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 13cm, angle = 76°. Give your answer to 2 decimal places
Answer: 176.59cm²
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4.
Ratio
a:b is 1:3 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 2:6:9
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5.
Statistics
Find the mean, median and range of: 41, 83, 18, 89, 96, 18, 22. Give your answer to 2 decimal places
Answer: Mean = 52.43, Median = 41, Range = 78
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1.
Number
Simplify: √272
Answer: 4√17
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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 = 21cm, b = 24cm, angle = 52°. Give your answer to 2 decimal places
Answer: 198.58cm²
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4.
Ratio
a:b is 7:9 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 14:18:63
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5.
Statistics
Find the mean, median and range of: 42, 59, 67, 24, 30, 69, 99, 88
Answer: Mean = 59.75, Median = 63, Range = 75
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1.
Number
Simplify: 5√275
Answer: 25√11
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2.
Algebra
Complete the square: 3x² + 24x - 3
Answer: 3(x + 4)² - 51
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3.
Geometry
Find area of triangle: a = 18cm, b = 25cm, angle = 66°. Give your answer to 2 decimal places
Answer: 205.55cm²
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4.
Ratio
a:b is 8:3 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 16:6:27
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5.
Statistics
Find the mean, median and range of: 12, 40, 28, 18, 68, 40, 44. Give your answer to 2 decimal places
Answer: Mean = 35.71, Median = 40, Range = 56
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1.
Number
Simplify: 5√24
Answer: 10√6
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2.
Algebra
Complete the square: 4x² + 40x
Answer: 4(x + 5)² - 100
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3.
Geometry
Find area of triangle: a = 15cm, b = 20cm, angle = 74°. Give your answer to 2 decimal places
Answer: 144.19cm²
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4.
Ratio
a:b is 9:8 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 27:24:16
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5.
Statistics
Find the mean, median and range of: 26, 56, 43, 66, 10, 13, 41. Give your answer to 2 decimal places
Answer: Mean = 36.43, Median = 41, Range = 56
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1.
Number
Simplify: √612
Answer: 6√17
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2.
Algebra
Complete the square: x² + 7x - 10
Answer: (x + 7⁄2)² - 89⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 16cm, angle = 47°. Give your answer to 2 decimal places
Answer: 122.87cm²
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4.
Ratio
a:b is 2:9 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 4:18:63
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5.
Statistics
Find the mean, median and range of: 19, 100, 63, 84, 70, 43, 61, 50, 44. Give your answer to 2 decimal places
Answer: Mean = 59.33, Median = 61, Range = 81