Change pack
Capstone
Apr 9 - 15
25 questions
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1.
Number
Simplify: √112
Answer: 4√7
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2.
Algebra
Complete the square: x² + 11x + 5
Answer: (x + 11⁄2)² - 101⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 19cm, angle = 47°. Give your answer to 2 decimal places
Answer: 118.11cm²
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4.
Ratio
a:b is 8:3 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 16:6:27
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5.
Statistics
Find the mean, median and range of: 35, 73, 39, 84, 68, 21, 95, 90. Give your answer to 2 decimal places
Answer: Mean = 63.13, Median = 70.5, Range = 74
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1.
Number
Simplify: 3√27
Answer: 9√3
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2.
Algebra
Complete the square: 4x² + 40x - 13
Answer: 4(x + 5)² - 113
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3.
Geometry
Find area of triangle: a = 28cm, b = 14cm, angle = 48°. Give your answer to 2 decimal places
Answer: 145.66cm²
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4.
Ratio
a:b is 8:5 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 72:45:40
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5.
Statistics
Find the mean, median and range of: 68, 42, 59, 30, 43, 29, 36. Give your answer to 2 decimal places
Answer: Mean = 43.86, Median = 42, Range = 39
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1.
Number
Simplify: 2√54
Answer: 6√6
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2.
Algebra
Complete the square: x² - 11x + 7
Answer: (x - 11⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 16cm, angle = 68°. Give your answer to 2 decimal places
Answer: 163.18cm²
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4.
Ratio
a:b is 3:4 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 15:20:28
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5.
Statistics
Find the mean, median and range of: 29, 52, 52, 10, 65, 64, 73. Give your answer to 2 decimal places
Answer: Mean = 49.29, Median = 52, Range = 63
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1.
Number
Simplify: √405
Answer: 9√5
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2.
Algebra
Complete the square: 3x² - 6x - 4
Answer: 3(x - 1)² - 7
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3.
Geometry
Find area of triangle: a = 18cm, b = 30cm, angle = 60°. Give your answer to 2 decimal places
Answer: 233.83cm²
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4.
Ratio
a:b is 9:5 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 18:10:35
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5.
Statistics
Find the mean, median and range of: 46, 35, 27, 74, 48, 94, 12, 12, 41. Give your answer to 2 decimal places
Answer: Mean = 43.22, Median = 41, Range = 82
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1.
Number
Simplify: 4√8
Answer: 8√2
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2.
Algebra
Complete the square: 3x² + 18x - 1
Answer: 3(x + 3)² - 28
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3.
Geometry
Find area of triangle: a = 21cm, b = 29cm, angle = 65°. Give your answer to 2 decimal places
Answer: 275.97cm²
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4.
Ratio
a:b is 4:5 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 16:20:35
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5.
Statistics
Find the mean, median and range of: 31, 100, 63, 91, 50, 94, 25. Give your answer to 2 decimal places
Answer: Mean = 64.86, Median = 63, Range = 75