Change pack
Capstone
May 9 - 15
25 questions
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1.
Number
Simplify: √931
Answer: 7√19
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2.
Algebra
Complete the square: 2x² + 16x - 3
Answer: 2(x + 4)² - 35
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3.
Geometry
Find area of triangle: a = 17cm, b = 25cm, angle = 71°. Give your answer to 2 decimal places
Answer: 200.92cm²
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4.
Ratio
a:b is 6:5 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 54:45:35
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5.
Statistics
Find the mean, median and range of: 72, 24, 65, 51, 26, 79, 92, 82. Give your answer to 2 decimal places
Answer: Mean = 61.38, Median = 68.5, Range = 68
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1.
Number
Simplify: √684
Answer: 6√19
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2.
Algebra
Complete the square: x² + 3x - 4
Answer: (x + 3⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 17cm, angle = 69°. Give your answer to 2 decimal places
Answer: 174.58cm²
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4.
Ratio
a:b is 7:3 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 56:24:3
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5.
Statistics
Find the mean, median and range of: 91, 77, 52, 85, 59, 96, 38, 17, 58. Give your answer to 2 decimal places
Answer: Mean = 63.67, Median = 59, Range = 79
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1.
Number
Simplify: √272
Answer: 4√17
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2.
Algebra
Complete the square: 4x² - 24x + 1
Answer: 4(x - 3)² - 35
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3.
Geometry
Find area of triangle: a = 28cm, b = 21cm, angle = 55°. Give your answer to 2 decimal places
Answer: 240.83cm²
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4.
Ratio
a:b is 7:9 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 28:36:63
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5.
Statistics
Find the mean, median and range of: 30, 56, 77, 27, 86, 61, 33, 17, 13. Give your answer to 2 decimal places
Answer: Mean = 44.44, Median = 33, Range = 73
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1.
Number
Simplify: 4√48
Answer: 16√3
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2.
Algebra
Complete the square: x² + 9x + 9
Answer: (x + 9⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 24cm, angle = 48°. Give your answer to 2 decimal places
Answer: 258.61cm²
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4.
Ratio
a:b is 3:7 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 9:21:7
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5.
Statistics
Find the mean, median and range of: 78, 20, 82, 76, 27, 37, 76, 27. Give your answer to 2 decimal places
Answer: Mean = 52.88, Median = 56.5, Range = 62
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: 5x² + 30x
Answer: 5(x + 3)² - 45
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3.
Geometry
Find area of triangle: a = 20cm, b = 30cm, angle = 43°. Give your answer to 2 decimal places
Answer: 204.6cm²
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4.
Ratio
a:b is 3:8 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 9:24:16
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5.
Statistics
Find the mean, median and range of: 90, 14, 12, 51, 30, 81, 92, 54
Answer: Mean = 53, Median = 52.5, Range = 80