Change pack
Capstone
Oct 7 - 13
25 questions
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1.
Number
Simplify: √360
Answer: 6√10
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2.
Algebra
Complete the square: 5x² + 50x + 7
Answer: 5(x + 5)² - 118
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3.
Geometry
Find area of triangle: a = 27cm, b = 25cm, angle = 61°. Give your answer to 2 decimal places
Answer: 295.18cm²
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4.
Ratio
a:b is 3:5 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 6:10:45
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5.
Statistics
Find the mean, median and range of: 74, 32, 56, 33, 69, 97, 16. Give your answer to 2 decimal places
Answer: Mean = 53.86, Median = 56, Range = 81
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: 2x² + 16x + 15
Answer: 2(x + 4)² - 17
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3.
Geometry
Find area of triangle: a = 19cm, b = 15cm, angle = 47°. Give your answer to 2 decimal places
Answer: 104.22cm²
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4.
Ratio
a:b is 7:9 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 56:72:27
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5.
Statistics
Find the mean, median and range of: 97, 65, 27, 49, 20, 84, 28, 27. Give your answer to 2 decimal places
Answer: Mean = 49.63, Median = 38.5, Range = 77
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: 4x² + 8x - 7
Answer: 4(x + 1)² - 11
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3.
Geometry
Find area of triangle: a = 28cm, b = 12cm, angle = 71°. Give your answer to 2 decimal places
Answer: 158.85cm²
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4.
Ratio
a:b is 9:5 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 63:35:20
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5.
Statistics
Find the mean, median and range of: 35, 54, 44, 10, 22, 69, 51, 80, 79. Give your answer to 2 decimal places
Answer: Mean = 49.33, Median = 51, Range = 70
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1.
Number
Simplify: 2√90
Answer: 6√10
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2.
Algebra
Complete the square: x² - 3x + 8
Answer: (x - 3⁄2)² + 23⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 30cm, angle = 72°. Give your answer to 2 decimal places
Answer: 185.46cm²
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4.
Ratio
a:b is 3:7 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 12:28:35
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5.
Statistics
Find the mean, median and range of: 87, 60, 16, 30, 73, 79, 81. Give your answer to 2 decimal places
Answer: Mean = 60.86, Median = 73, Range = 71
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1.
Number
Simplify: 4√24
Answer: 8√6
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2.
Algebra
Complete the square: x² + 11x + 11
Answer: (x + 11⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 17cm, angle = 67°. Give your answer to 2 decimal places
Answer: 234.73cm²
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4.
Ratio
a:b is 5:8 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 15:24:32
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5.
Statistics
Find the mean, median and range of: 44, 32, 68, 58, 15, 88, 22. Give your answer to 2 decimal places
Answer: Mean = 46.71, Median = 44, Range = 73