Change pack
Capstone
Jun 28 - Jul 4
25 questions
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1.
Number
Simplify: 4√99
Answer: 12√11
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2.
Algebra
Complete the square: x² + 3x - 5
Answer: (x + 3⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 20cm, angle = 69°. Give your answer to 2 decimal places
Answer: 205.39cm²
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4.
Ratio
a:b is 8:9 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 32:36:45
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5.
Statistics
Find the mean, median and range of: 26, 99, 37, 54, 12, 41, 90, 59, 56. Give your answer to 2 decimal places
Answer: Mean = 52.67, Median = 54, Range = 87
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: 2x² - 4x - 10
Answer: 2(x - 1)² - 12
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3.
Geometry
Find area of triangle: a = 14cm, b = 30cm, angle = 44°. Give your answer to 2 decimal places
Answer: 145.88cm²
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4.
Ratio
a:b is 2:9 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 4:18:3
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5.
Statistics
Find the mean, median and range of: 80, 100, 39, 62, 40, 94, 65, 56
Answer: Mean = 67, Median = 63.5, Range = 61
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1.
Number
Simplify: 3√44
Answer: 6√11
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2.
Algebra
Complete the square: x² + x - 9
Answer: (x + 1⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 20cm, angle = 48°. Give your answer to 2 decimal places
Answer: 178.35cm²
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4.
Ratio
a:b is 7:8 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 21:24:28
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5.
Statistics
Find the mean, median and range of: 46, 16, 83, 65, 50, 30, 33, 54. Give your answer to 2 decimal places
Answer: Mean = 47.13, Median = 48, Range = 67
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: 3x² - 6x - 2
Answer: 3(x - 1)² - 5
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3.
Geometry
Find area of triangle: a = 12cm, b = 29cm, angle = 53°. Give your answer to 2 decimal places
Answer: 138.96cm²
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4.
Ratio
a:b is 5:9 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 20:36:63
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5.
Statistics
Find the mean, median and range of: 89, 25, 45, 17, 39, 53, 98, 69, 28. Give your answer to 2 decimal places
Answer: Mean = 51.44, Median = 45, Range = 81
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: 4x² + 24x + 3
Answer: 4(x + 3)² - 33
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3.
Geometry
Find area of triangle: a = 22cm, b = 16cm, angle = 78°. Give your answer to 2 decimal places
Answer: 172.15cm²
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4.
Ratio
a:b is 2:3 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 8:12:27
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5.
Statistics
Find the mean, median and range of: 20, 43, 56, 62, 94, 57, 77, 21, 69. Give your answer to 2 decimal places
Answer: Mean = 55.44, Median = 57, Range = 74