Change pack
Capstone
Nov 28 - Dec 4
25 questions
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1.
Number
Simplify: √960
Answer: 8√15
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2.
Algebra
Complete the square: x² - 11x + 7
Answer: (x - 11⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 21cm, angle = 48°. Give your answer to 2 decimal places
Answer: 140.45cm²
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4.
Ratio
a:b is 5:6 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 35:42:30
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5.
Statistics
Find the mean, median and range of: 56, 89, 100, 87, 58, 43, 41. Give your answer to 2 decimal places
Answer: Mean = 67.71, Median = 58, Range = 59
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1.
Number
Simplify: 3√176
Answer: 12√11
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2.
Algebra
Complete the square: x² - 3x - 1
Answer: (x - 3⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 25cm, angle = 48°. Give your answer to 2 decimal places
Answer: 157.92cm²
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4.
Ratio
a:b is 1:8 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 3:24:8
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5.
Statistics
Find the mean, median and range of: 91, 61, 34, 99, 36, 31, 69, 37, 15. Give your answer to 2 decimal places
Answer: Mean = 52.56, Median = 37, Range = 84
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1.
Number
Simplify: 2√24
Answer: 4√6
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2.
Algebra
Complete the square: x² - 7x + 4
Answer: (x - 7⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 14cm, angle = 71°. Give your answer to 2 decimal places
Answer: 112.52cm²
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4.
Ratio
a:b is 8:9 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 40:45:9
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5.
Statistics
Find the mean, median and range of: 62, 18, 69, 53, 64, 35, 65. Give your answer to 2 decimal places
Answer: Mean = 52.29, Median = 62, Range = 51
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1.
Number
Simplify: 4√24
Answer: 8√6
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2.
Algebra
Complete the square: 2x² - 20x - 7
Answer: 2(x - 5)² - 57
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3.
Geometry
Find area of triangle: a = 19cm, b = 17cm, angle = 74°. Give your answer to 2 decimal places
Answer: 155.24cm²
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4.
Ratio
a:b is 2:9 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 14:63:27
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5.
Statistics
Find the mean, median and range of: 35, 80, 70, 92, 67, 41, 18, 25, 17. Give your answer to 2 decimal places
Answer: Mean = 49.44, Median = 41, Range = 75
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1.
Number
Simplify: √396
Answer: 6√11
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2.
Algebra
Complete the square: 3x² + 18x - 14
Answer: 3(x + 3)² - 41
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3.
Geometry
Find area of triangle: a = 16cm, b = 15cm, angle = 65°. Give your answer to 2 decimal places
Answer: 108.76cm²
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4.
Ratio
a:b is 3:7 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 12:28:63
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5.
Statistics
Find the mean, median and range of: 48, 90, 94, 59, 95, 56, 61, 96, 84. Give your answer to 2 decimal places
Answer: Mean = 75.89, Median = 84, Range = 48