Change pack
Capstone
Jul 3 - 9
25 questions
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1.
Number
Simplify: √475
Answer: 5√19
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2.
Algebra
Complete the square: x² + 9x + 5
Answer: (x + 9⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 25cm, angle = 69°. Give your answer to 2 decimal places
Answer: 245.06cm²
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4.
Ratio
a:b is 2:5 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 16:40:45
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5.
Statistics
Find the mean, median and range of: 37, 75, 41, 38, 98, 56, 53, 88
Answer: Mean = 60.75, Median = 54.5, Range = 61
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: x² - 7x - 8
Answer: (x - 7⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 28cm, angle = 49°. Give your answer to 2 decimal places
Answer: 190.19cm²
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4.
Ratio
a:b is 1:4 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 7:28:4
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5.
Statistics
Find the mean, median and range of: 98, 74, 88, 68, 46, 96, 19, 96. Give your answer to 2 decimal places
Answer: Mean = 73.13, Median = 81, Range = 79
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1.
Number
Simplify: 2√27
Answer: 6√3
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2.
Algebra
Complete the square: x² + 5x - 6
Answer: (x + 5⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 12cm, angle = 58°. Give your answer to 2 decimal places
Answer: 132.3cm²
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4.
Ratio
a:b is 4:5 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 28:35:10
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5.
Statistics
Find the mean, median and range of: 65, 53, 84, 34, 68, 14, 42, 37, 25. Give your answer to 2 decimal places
Answer: Mean = 46.89, Median = 42, Range = 70
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1.
Number
Simplify: 3√160
Answer: 12√10
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2.
Algebra
Complete the square: x² + 7x + 1
Answer: (x + 7⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 27cm, angle = 46°. Give your answer to 2 decimal places
Answer: 145.67cm²
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4.
Ratio
a:b is 7:8 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 35:40:64
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5.
Statistics
Find the mean, median and range of: 94, 38, 19, 88, 14, 98, 18, 32. Give your answer to 2 decimal places
Answer: Mean = 50.13, Median = 35, Range = 84
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: 4x² + 8x + 1
Answer: 4(x + 1)² - 3
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3.
Geometry
Find area of triangle: a = 30cm, b = 21cm, angle = 72°. Give your answer to 2 decimal places
Answer: 299.58cm²
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4.
Ratio
a:b is 7:4 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 21:12:2
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5.
Statistics
Find the mean, median and range of: 43, 14, 88, 27, 39, 19, 56, 24
Answer: Mean = 38.75, Median = 33, Range = 74