Change pack
Capstone
Jun 1 - 7
25 questions
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: 5x² + 10x - 1
Answer: 5(x + 1)² - 6
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3.
Geometry
Find area of triangle: a = 23cm, b = 15cm, angle = 42°. Give your answer to 2 decimal places
Answer: 115.43cm²
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4.
Ratio
a:b is 9:4 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 81:36:4
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5.
Statistics
Find the mean, median and range of: 72, 88, 51, 76, 28, 82, 79, 45, 65. Give your answer to 2 decimal places
Answer: Mean = 65.11, Median = 72, Range = 60
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1.
Number
Simplify: √245
Answer: 7√5
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2.
Algebra
Complete the square: 3x² - 18x + 12
Answer: 3(x - 3)² - 15
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3.
Geometry
Find area of triangle: a = 12cm, b = 16cm, angle = 77°. Give your answer to 2 decimal places
Answer: 93.54cm²
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4.
Ratio
a:b is 8:7 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 40:35:21
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5.
Statistics
Find the mean, median and range of: 51, 88, 68, 99, 54, 86, 19, 40, 71
Answer: Mean = 64, Median = 68, Range = 80
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1.
Number
Simplify: 3√32
Answer: 12√2
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2.
Algebra
Complete the square: 4x² + 32x + 15
Answer: 4(x + 4)² - 49
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3.
Geometry
Find area of triangle: a = 22cm, b = 24cm, angle = 60°. Give your answer to 2 decimal places
Answer: 228.63cm²
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4.
Ratio
a:b is 2:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 16:56:35
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5.
Statistics
Find the mean, median and range of: 76, 81, 12, 90, 24, 84, 46
Answer: Mean = 59, Median = 76, Range = 78
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1.
Number
Simplify: 5√250
Answer: 25√10
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2.
Algebra
Complete the square: x² + 3x + 10
Answer: (x + 3⁄2)² + 31⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 25cm, angle = 74°. Give your answer to 2 decimal places
Answer: 228.3cm²
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4.
Ratio
a:b is 1:9 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 5:45:27
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5.
Statistics
Find the mean, median and range of: 22, 35, 96, 62, 63, 48, 60, 95, 90. Give your answer to 2 decimal places
Answer: Mean = 63.44, Median = 62, Range = 74
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1.
Number
Simplify: √125
Answer: 5√5
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2.
Algebra
Complete the square: x² - x + 11
Answer: (x - 1⁄2)² + 43⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 28cm, angle = 71°. Give your answer to 2 decimal places
Answer: 158.85cm²
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4.
Ratio
a:b is 3:8 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 15:40:16
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5.
Statistics
Find the mean, median and range of: 73, 97, 71, 94, 42, 58, 66, 21, 99
Answer: Mean = 69, Median = 71, Range = 78