Change pack
Capstone
Mar 17 - 23
25 questions
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1.
Number
Simplify: 4√48
Answer: 16√3
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2.
Algebra
Complete the square: x² + x - 2
Answer: (x + 1⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 19cm, angle = 53°. Give your answer to 2 decimal places
Answer: 166.91cm²
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4.
Ratio
a:b is 7:5 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 56:40:15
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5.
Statistics
Find the mean, median and range of: 34, 65, 45, 90, 35, 39, 49
Answer: Mean = 51, Median = 45, Range = 56
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1.
Number
Simplify: √684
Answer: 6√19
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2.
Algebra
Complete the square: x² + x - 3
Answer: (x + 1⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 21cm, angle = 41°. Give your answer to 2 decimal places
Answer: 199.77cm²
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4.
Ratio
a:b is 9:8 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 81:72:64
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5.
Statistics
Find the mean, median and range of: 97, 100, 90, 92, 28, 80, 28, 85
Answer: Mean = 75, Median = 87.5, Range = 72
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1.
Number
Simplify: 2√54
Answer: 6√6
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2.
Algebra
Complete the square: x² - 11x - 12
Answer: (x - 11⁄2)² - 169⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 24cm, angle = 61°. Give your answer to 2 decimal places
Answer: 188.92cm²
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4.
Ratio
a:b is 8:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 72:45:5
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5.
Statistics
Find the mean, median and range of: 100, 90, 25, 80, 73, 42, 82. Give your answer to 2 decimal places
Answer: Mean = 70.29, Median = 80, Range = 75
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1.
Number
Simplify: 3√54
Answer: 9√6
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2.
Algebra
Complete the square: x² - x - 4
Answer: (x - 1⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 20cm, angle = 41°. Give your answer to 2 decimal places
Answer: 164.01cm²
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4.
Ratio
a:b is 7:6 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 14:12:21
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5.
Statistics
Find the mean, median and range of: 19, 39, 77, 72, 100, 10, 54, 25
Answer: Mean = 49.5, Median = 46.5, Range = 90
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1.
Number
Simplify: 4√80
Answer: 16√5
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2.
Algebra
Complete the square: x² - 11x - 7
Answer: (x - 11⁄2)² - 149⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 12cm, angle = 44°. Give your answer to 2 decimal places
Answer: 87.53cm²
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4.
Ratio
a:b is 4:9 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 28:63:72
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5.
Statistics
Find the mean, median and range of: 19, 61, 26, 47, 90, 99, 37, 31, 62. Give your answer to 2 decimal places
Answer: Mean = 52.44, Median = 47, Range = 80