Change pack
Capstone
Apr 4 - 10
25 questions
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: 3x² + 30x + 15
Answer: 3(x + 5)² - 60
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3.
Geometry
Find area of triangle: a = 28cm, b = 27cm, angle = 52°. Give your answer to 2 decimal places
Answer: 297.87cm²
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4.
Ratio
a:b is 9:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 27:21:49
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5.
Statistics
Find the mean, median and range of: 65, 62, 19, 62, 57, 47, 78, 38, 56. Give your answer to 2 decimal places
Answer: Mean = 53.78, Median = 57, Range = 59
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1.
Number
Simplify: √640
Answer: 8√10
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2.
Algebra
Complete the square: x² + 5x - 1
Answer: (x + 5⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 23cm, angle = 62°. Give your answer to 2 decimal places
Answer: 243.69cm²
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4.
Ratio
a:b is 4:7 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 16:28:7
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5.
Statistics
Find the mean, median and range of: 19, 53, 56, 81, 18, 11, 88, 36
Answer: Mean = 45.25, Median = 44.5, Range = 77
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1.
Number
Simplify: 4√176
Answer: 16√11
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2.
Algebra
Complete the square: x² - 9x + 6
Answer: (x - 9⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 14cm, angle = 58°. Give your answer to 2 decimal places
Answer: 136.54cm²
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4.
Ratio
a:b is 4:9 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 8:18:3
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5.
Statistics
Find the mean, median and range of: 37, 73, 72, 33, 79, 44, 18, 60
Answer: Mean = 52, Median = 52, Range = 61
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: 5x² + 40x
Answer: 5(x + 4)² - 80
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3.
Geometry
Find area of triangle: a = 17cm, b = 30cm, angle = 66°. Give your answer to 2 decimal places
Answer: 232.95cm²
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4.
Ratio
a:b is 3:8 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 27:72:8
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5.
Statistics
Find the mean, median and range of: 70, 24, 55, 90, 36, 36, 84. Give your answer to 2 decimal places
Answer: Mean = 56.43, Median = 55, Range = 66
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1.
Number
Simplify: √325
Answer: 5√13
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2.
Algebra
Complete the square: 4x² - 8x - 10
Answer: 4(x - 1)² - 14
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3.
Geometry
Find area of triangle: a = 18cm, b = 24cm, angle = 45°. Give your answer to 2 decimal places
Answer: 152.74cm²
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4.
Ratio
a:b is 5:2 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 45:18:4
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5.
Statistics
Find the mean, median and range of: 15, 92, 42, 84, 80, 90, 41, 13, 97. Give your answer to 2 decimal places
Answer: Mean = 61.56, Median = 80, Range = 84