Change pack
Capstone
Aug 11 - 17
25 questions
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: x² + 7x + 10
Answer: (x + 7⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 30cm, angle = 51°. Give your answer to 2 decimal places
Answer: 326.4cm²
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4.
Ratio
a:b is 5:7 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 25:35:56
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5.
Statistics
Find the mean, median and range of: 44, 14, 69, 99, 32, 95, 60, 76. Give your answer to 2 decimal places
Answer: Mean = 61.13, Median = 64.5, Range = 85
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1.
Number
Simplify: 2√8
Answer: 4√2
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2.
Algebra
Complete the square: 4x² - 32x - 2
Answer: 4(x - 4)² - 66
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3.
Geometry
Find area of triangle: a = 26cm, b = 13cm, angle = 64°. Give your answer to 2 decimal places
Answer: 151.9cm²
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4.
Ratio
a:b is 1:8 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 9:72:32
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5.
Statistics
Find the mean, median and range of: 29, 25, 51, 64, 64, 87, 37
Answer: Mean = 51, Median = 51, Range = 62
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: x² - 7x - 6
Answer: (x - 7⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 14cm, angle = 64°. Give your answer to 2 decimal places
Answer: 157.29cm²
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4.
Ratio
a:b is 2:9 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 14:63:45
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5.
Statistics
Find the mean, median and range of: 65, 66, 34, 96, 83, 88, 21, 56, 46. Give your answer to 2 decimal places
Answer: Mean = 61.67, Median = 65, Range = 75
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: 5x² - 60x - 8
Answer: 5(x - 6)² - 188
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3.
Geometry
Find area of triangle: a = 20cm, b = 16cm, angle = 70°. Give your answer to 2 decimal places
Answer: 150.35cm²
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4.
Ratio
a:b is 4:3 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 32:24:27
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5.
Statistics
Find the mean, median and range of: 75, 81, 62, 70, 81, 40, 98. Give your answer to 2 decimal places
Answer: Mean = 72.43, Median = 75, Range = 58
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: x² + x + 1
Answer: (x + 1⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 26cm, angle = 64°. Give your answer to 2 decimal places
Answer: 280.42cm²
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4.
Ratio
a:b is 5:6 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 35:42:18
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5.
Statistics
Find the mean, median and range of: 69, 11, 79, 82, 39, 28, 49, 17
Answer: Mean = 46.75, Median = 44, Range = 71