Change pack
Capstone
Aug 29 - Sep 4
25 questions
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1.
Number
Simplify: 4√8
Answer: 8√2
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2.
Algebra
Complete the square: 4x² - 8x - 13
Answer: 4(x - 1)² - 17
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3.
Geometry
Find area of triangle: a = 12cm, b = 18cm, angle = 65°. Give your answer to 2 decimal places
Answer: 97.88cm²
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4.
Ratio
a:b is 1:9 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 7:63:36
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5.
Statistics
Find the mean, median and range of: 96, 47, 73, 18, 18, 30, 58. Give your answer to 2 decimal places
Answer: Mean = 48.57, Median = 47, Range = 78
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1.
Number
Simplify: √475
Answer: 5√19
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2.
Algebra
Complete the square: x² - 11x - 2
Answer: (x - 11⁄2)² - 129⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 14cm, angle = 78°. Give your answer to 2 decimal places
Answer: 89.01cm²
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4.
Ratio
a:b is 2:7 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 6:21:14
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5.
Statistics
Find the mean, median and range of: 25, 20, 64, 27, 89, 84, 72. Give your answer to 2 decimal places
Answer: Mean = 54.43, Median = 64, Range = 69
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: x² - 5x - 11
Answer: (x - 5⁄2)² - 69⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 15cm, angle = 64°. Give your answer to 2 decimal places
Answer: 107.86cm²
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4.
Ratio
a:b is 2:9 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 16:72:81
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5.
Statistics
Find the mean, median and range of: 25, 74, 25, 71, 50, 90, 98, 66. Give your answer to 2 decimal places
Answer: Mean = 62.38, Median = 68.5, Range = 73
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1.
Number
Simplify: 5√20
Answer: 10√5
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2.
Algebra
Complete the square: x² - 3x - 3
Answer: (x - 3⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 27cm, angle = 51°. Give your answer to 2 decimal places
Answer: 304.25cm²
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4.
Ratio
a:b is 5:6 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 35:42:30
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5.
Statistics
Find the mean, median and range of: 31, 29, 51, 60, 77, 23, 25, 67, 80. Give your answer to 2 decimal places
Answer: Mean = 49.22, Median = 51, Range = 57
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: 2x² - 8x - 10
Answer: 2(x - 2)² - 18
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3.
Geometry
Find area of triangle: a = 21cm, b = 27cm, angle = 48°. Give your answer to 2 decimal places
Answer: 210.68cm²
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4.
Ratio
a:b is 7:8 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 49:56:8
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5.
Statistics
Find the mean, median and range of: 84, 67, 38, 71, 33, 94, 89
Answer: Mean = 68, Median = 71, Range = 61