Change pack
Capstone
Dec 5 - 11
25 questions
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: 4x² - 40x + 2
Answer: 4(x - 5)² - 98
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3.
Geometry
Find area of triangle: a = 14cm, b = 14cm, angle = 54°. Give your answer to 2 decimal places
Answer: 79.28cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 56:63:72
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5.
Statistics
Find the mean, median and range of: 77, 10, 29, 16, 74, 21, 31, 40, 99. Give your answer to 2 decimal places
Answer: Mean = 44.11, Median = 31, Range = 89
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1.
Number
Simplify: √931
Answer: 7√19
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2.
Algebra
Complete the square: x² + x + 9
Answer: (x + 1⁄2)² + 35⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 27cm, angle = 48°. Give your answer to 2 decimal places
Answer: 280.91cm²
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4.
Ratio
a:b is 5:7 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 10:14:21
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5.
Statistics
Find the mean, median and range of: 14, 90, 63, 21, 51, 48, 82, 29, 27. Give your answer to 2 decimal places
Answer: Mean = 47.22, Median = 48, Range = 76
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1.
Number
Simplify: √180
Answer: 6√5
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2.
Algebra
Complete the square: 5x² - 10x + 15
Answer: 5(x - 1)² + 10
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3.
Geometry
Find area of triangle: a = 25cm, b = 16cm, angle = 62°. Give your answer to 2 decimal places
Answer: 176.59cm²
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4.
Ratio
a:b is 2:9 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 14:63:18
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5.
Statistics
Find the mean, median and range of: 12, 46, 22, 94, 17, 32, 15, 32
Answer: Mean = 33.75, Median = 27, Range = 82
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: 3x² + 24x + 7
Answer: 3(x + 4)² - 41
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3.
Geometry
Find area of triangle: a = 30cm, b = 13cm, angle = 64°. Give your answer to 2 decimal places
Answer: 175.26cm²
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4.
Ratio
a:b is 2:7 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 10:35:14
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5.
Statistics
Find the mean, median and range of: 69, 81, 67, 88, 88, 42, 19, 46
Answer: Mean = 62.5, Median = 68, Range = 69
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1.
Number
Simplify: 4√12
Answer: 8√3
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2.
Algebra
Complete the square: x² - 3x + 5
Answer: (x - 3⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 20cm, angle = 70°. Give your answer to 2 decimal places
Answer: 225.53cm²
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4.
Ratio
a:b is 7:4 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 63:36:28
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5.
Statistics
Find the mean, median and range of: 25, 18, 62, 13, 41, 90, 56. Give your answer to 2 decimal places
Answer: Mean = 43.57, Median = 41, Range = 77