Change pack
Capstone
May 8 - 14
25 questions
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1.
Number
Simplify: √960
Answer: 8√15
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2.
Algebra
Complete the square: 2x² + 20x + 1
Answer: 2(x + 5)² - 49
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3.
Geometry
Find area of triangle: a = 15cm, b = 24cm, angle = 42°. Give your answer to 2 decimal places
Answer: 120.44cm²
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4.
Ratio
a:b is 3:2 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 21:14:6
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5.
Statistics
Find the mean, median and range of: 23, 61, 58, 10, 17, 46, 65
Answer: Mean = 40, Median = 46, Range = 55
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1.
Number
Simplify: √1000
Answer: 10√10
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2.
Algebra
Complete the square: 5x² + 50x + 12
Answer: 5(x + 5)² - 113
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3.
Geometry
Find area of triangle: a = 30cm, b = 19cm, angle = 76°. Give your answer to 2 decimal places
Answer: 276.53cm²
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4.
Ratio
a:b is 4:7 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 8:14:7
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5.
Statistics
Find the mean, median and range of: 21, 13, 88, 59, 96, 69, 50. Give your answer to 2 decimal places
Answer: Mean = 56.57, Median = 59, Range = 83
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: x² + 5x
Answer: (x + 5⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 28cm, angle = 80°. Give your answer to 2 decimal places
Answer: 165.45cm²
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4.
Ratio
a:b is 5:4 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 15:12:4
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5.
Statistics
Find the mean, median and range of: 49, 57, 99, 49, 74, 71, 34. Give your answer to 2 decimal places
Answer: Mean = 61.86, Median = 57, Range = 65
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1.
Number
Simplify: 4√275
Answer: 20√11
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2.
Algebra
Complete the square: 5x² + 60x + 7
Answer: 5(x + 6)² - 173
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3.
Geometry
Find area of triangle: a = 20cm, b = 22cm, angle = 80°. Give your answer to 2 decimal places
Answer: 216.66cm²
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4.
Ratio
a:b is 8:5 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 32:20:5
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5.
Statistics
Find the mean, median and range of: 93, 25, 49, 18, 47, 30, 37, 60, 29. Give your answer to 2 decimal places
Answer: Mean = 43.11, Median = 37, Range = 75
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1.
Number
Simplify: √756
Answer: 6√21
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2.
Algebra
Complete the square: 4x² - 32x + 3
Answer: 4(x - 4)² - 61
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3.
Geometry
Find area of triangle: a = 21cm, b = 20cm, angle = 73°. Give your answer to 2 decimal places
Answer: 200.82cm²
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4.
Ratio
a:b is 1:4 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 5:20:36
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5.
Statistics
Find the mean, median and range of: 44, 91, 64, 83, 89, 35, 37. Give your answer to 2 decimal places
Answer: Mean = 63.29, Median = 64, Range = 56