Change pack
Capstone
Jun 26 - Jul 2
25 questions
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1.
Number
Simplify: 4√20
Answer: 8√5
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2.
Algebra
Complete the square: x² + 3x - 6
Answer: (x + 3⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 30cm, angle = 66°. Give your answer to 2 decimal places
Answer: 383.69cm²
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4.
Ratio
a:b is 7:2 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 49:14:8
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5.
Statistics
Find the mean, median and range of: 60, 36, 25, 92, 46, 86, 46, 12. Give your answer to 2 decimal places
Answer: Mean = 50.38, Median = 46, Range = 80
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1.
Number
Simplify: 3√45
Answer: 9√5
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2.
Algebra
Complete the square: x² - 3x - 4
Answer: (x - 3⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 12cm, angle = 46°. Give your answer to 2 decimal places
Answer: 103.58cm²
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4.
Ratio
a:b is 5:9 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 35:63:45
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5.
Statistics
Find the mean, median and range of: 88, 11, 24, 63, 62, 53, 34, 61
Answer: Mean = 49.5, Median = 57, Range = 77
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1.
Number
Simplify: √540
Answer: 6√15
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2.
Algebra
Complete the square: 5x² - 40x + 11
Answer: 5(x - 4)² - 69
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3.
Geometry
Find area of triangle: a = 25cm, b = 28cm, angle = 57°. Give your answer to 2 decimal places
Answer: 293.53cm²
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4.
Ratio
a:b is 1:6 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 5:30:12
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5.
Statistics
Find the mean, median and range of: 58, 74, 42, 21, 31, 66, 43. Give your answer to 2 decimal places
Answer: Mean = 47.86, Median = 43, Range = 53
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: x² + 7x - 12
Answer: (x + 7⁄2)² - 97⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 23cm, angle = 69°. Give your answer to 2 decimal places
Answer: 236.2cm²
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4.
Ratio
a:b is 1:2 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 9:18:16
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5.
Statistics
Find the mean, median and range of: 88, 87, 75, 12, 15, 58, 39. Give your answer to 2 decimal places
Answer: Mean = 53.43, Median = 58, Range = 76
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1.
Number
Simplify: √550
Answer: 5√22
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2.
Algebra
Complete the square: 4x² + 24x - 7
Answer: 4(x + 3)² - 43
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3.
Geometry
Find area of triangle: a = 19cm, b = 28cm, angle = 41°. Give your answer to 2 decimal places
Answer: 174.51cm²
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4.
Ratio
a:b is 4:5 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 28:35:30
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5.
Statistics
Find the mean, median and range of: 75, 41, 18, 46, 12, 30, 17, 85
Answer: Mean = 40.5, Median = 35.5, Range = 73