Change pack
Capstone
Apr 10 - 16
25 questions
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1.
Number
Simplify: √756
Answer: 6√21
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2.
Algebra
Complete the square: 5x² - 50x + 3
Answer: 5(x - 5)² - 122
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3.
Geometry
Find area of triangle: a = 14cm, b = 28cm, angle = 59°. Give your answer to 2 decimal places
Answer: 168cm²
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4.
Ratio
a:b is 2:9 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 16:72:9
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5.
Statistics
Find the mean, median and range of: 23, 48, 83, 63, 61, 93, 15. Give your answer to 2 decimal places
Answer: Mean = 55.14, Median = 61, Range = 78
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: 3x² + 18x + 3
Answer: 3(x + 3)² - 24
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3.
Geometry
Find area of triangle: a = 27cm, b = 27cm, angle = 78°. Give your answer to 2 decimal places
Answer: 356.53cm²
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4.
Ratio
a:b is 7:6 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 35:30:24
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5.
Statistics
Find the mean, median and range of: 28, 30, 23, 94, 83, 58, 26, 97, 48. Give your answer to 2 decimal places
Answer: Mean = 54.11, Median = 48, Range = 74
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1.
Number
Simplify: √96
Answer: 4√6
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2.
Algebra
Complete the square: x² + 7x - 3
Answer: (x + 7⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 16cm, angle = 80°. Give your answer to 2 decimal places
Answer: 118.18cm²
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4.
Ratio
a:b is 4:3 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 32:24:15
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5.
Statistics
Find the mean, median and range of: 60, 84, 55, 16, 84, 81, 58, 47, 19
Answer: Mean = 56, Median = 58, Range = 68
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1.
Number
Simplify: 2√32
Answer: 8√2
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2.
Algebra
Complete the square: 2x² + 16x + 10
Answer: 2(x + 4)² - 22
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3.
Geometry
Find area of triangle: a = 25cm, b = 22cm, angle = 52°. Give your answer to 2 decimal places
Answer: 216.7cm²
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4.
Ratio
a:b is 1:8 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 7:56:40
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5.
Statistics
Find the mean, median and range of: 13, 34, 51, 90, 99, 64, 39. Give your answer to 2 decimal places
Answer: Mean = 55.71, Median = 51, Range = 86
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1.
Number
Simplify: 2√112
Answer: 8√7
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2.
Algebra
Complete the square: 3x² - 18x - 10
Answer: 3(x - 3)² - 37
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3.
Geometry
Find area of triangle: a = 28cm, b = 28cm, angle = 70°. Give your answer to 2 decimal places
Answer: 368.36cm²
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4.
Ratio
a:b is 7:6 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 28:24:15
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5.
Statistics
Find the mean, median and range of: 74, 41, 91, 87, 57, 34, 72, 99. Give your answer to 2 decimal places
Answer: Mean = 69.38, Median = 73, Range = 65