Change pack
Capstone
Mar 20 - 26
25 questions
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: 3x² - 24x - 11
Answer: 3(x - 4)² - 59
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3.
Geometry
Find area of triangle: a = 21cm, b = 21cm, angle = 44°. Give your answer to 2 decimal places
Answer: 153.17cm²
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4.
Ratio
a:b is 1:3 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 4:12:9
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5.
Statistics
Find the mean, median and range of: 23, 52, 45, 54, 77, 100, 63, 53, 56. Give your answer to 2 decimal places
Answer: Mean = 58.11, Median = 54, Range = 77
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: x² + 7x + 12
Answer: (x + 7⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 18cm, angle = 40°. Give your answer to 2 decimal places
Answer: 150.41cm²
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4.
Ratio
a:b is 4:7 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 12:21:35
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5.
Statistics
Find the mean, median and range of: 90, 12, 58, 85, 71, 13, 70, 44. Give your answer to 2 decimal places
Answer: Mean = 55.38, Median = 64, Range = 78
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: 4x² + 40x - 11
Answer: 4(x + 5)² - 111
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3.
Geometry
Find area of triangle: a = 13cm, b = 24cm, angle = 65°. Give your answer to 2 decimal places
Answer: 141.38cm²
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4.
Ratio
a:b is 3:5 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 9:15:10
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5.
Statistics
Find the mean, median and range of: 88, 55, 71, 47, 14, 16, 47, 100
Answer: Mean = 54.75, Median = 51, Range = 86
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: x² - 3x - 2
Answer: (x - 3⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 21cm, angle = 79°. Give your answer to 2 decimal places
Answer: 247.37cm²
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4.
Ratio
a:b is 7:8 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 35:40:72
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5.
Statistics
Find the mean, median and range of: 26, 63, 79, 64, 34, 94, 18, 37, 38. Give your answer to 2 decimal places
Answer: Mean = 50.33, Median = 38, Range = 76
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1.
Number
Simplify: 5√48
Answer: 20√3
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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 = 25cm, b = 27cm, angle = 72°. Give your answer to 2 decimal places
Answer: 320.98cm²
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4.
Ratio
a:b is 3:7 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 12:28:49
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5.
Statistics
Find the mean, median and range of: 86, 86, 24, 90, 26, 42, 21, 74. Give your answer to 2 decimal places
Answer: Mean = 56.13, Median = 58, Range = 69