Change pack
Capstone
Apr 8 - 14
25 questions
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1.
Number
Simplify: √272
Answer: 4√17
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2.
Algebra
Complete the square: 2x² - 16x + 14
Answer: 2(x - 4)² - 18
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3.
Geometry
Find area of triangle: a = 20cm, b = 19cm, angle = 48°. Give your answer to 2 decimal places
Answer: 141.2cm²
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4.
Ratio
a:b is 9:2 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 45:10:18
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5.
Statistics
Find the mean, median and range of: 56, 12, 42, 22, 31, 32, 15, 66, 60. Give your answer to 2 decimal places
Answer: Mean = 37.33, Median = 32, Range = 54
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: x² + 3x - 3
Answer: (x + 3⁄2)² - 21⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 16cm, angle = 69°. Give your answer to 2 decimal places
Answer: 104.56cm²
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4.
Ratio
a:b is 7:4 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 35:20:12
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5.
Statistics
Find the mean, median and range of: 27, 44, 74, 47, 11, 30, 62, 64, 43. Give your answer to 2 decimal places
Answer: Mean = 44.67, Median = 44, Range = 63
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: 4x² + 8x + 8
Answer: 4(x + 1)² + 4
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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 7:2 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 49:14:2
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5.
Statistics
Find the mean, median and range of: 39, 69, 64, 53, 39, 94, 62, 60, 40. Give your answer to 2 decimal places
Answer: Mean = 57.78, Median = 60, Range = 55
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1.
Number
Simplify: √405
Answer: 9√5
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2.
Algebra
Complete the square: 4x² - 40x + 9
Answer: 4(x - 5)² - 91
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3.
Geometry
Find area of triangle: a = 25cm, b = 28cm, angle = 59°. Give your answer to 2 decimal places
Answer: 300.01cm²
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4.
Ratio
a:b is 4:5 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 24:30:5
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5.
Statistics
Find the mean, median and range of: 71, 88, 42, 33, 75, 73, 98. Give your answer to 2 decimal places
Answer: Mean = 68.57, Median = 73, Range = 65
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1.
Number
Simplify: 3√28
Answer: 6√7
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2.
Algebra
Complete the square: 3x² + 6x + 6
Answer: 3(x + 1)² + 3
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3.
Geometry
Find area of triangle: a = 18cm, b = 23cm, angle = 74°. Give your answer to 2 decimal places
Answer: 198.98cm²
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4.
Ratio
a:b is 3:5 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 24:40:35
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5.
Statistics
Find the mean, median and range of: 11, 28, 80, 11, 39, 19, 25, 99
Answer: Mean = 39, Median = 26.5, Range = 88