Change pack
Capstone
Mar 17 - 23
25 questions
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: x² + 6x
Answer: (x + 3)² - 9
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3.
Geometry
Find area of triangle: a = 14cm, b = 18cm, angle = 65°
Answer: 114.2cm²
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4.
Ratio
a:b is 2:3 and b:c is 4:3. Find a:b:c.
Answer: 8:12:9
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5.
Statistics
Find the mean, median and range of: 68, 49, 30, 52, 53, 14, 11
Answer: Mean = 39.6, Median = 49, Range = 57
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1.
Number
Simplify: √75
Answer: 5√3
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2.
Algebra
Complete the square: x² + 2.4x
Answer: (x + 1.2)² - 1.44
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3.
Geometry
Find area of triangle: a = 26cm, b = 29cm, angle = 77°
Answer: 367.3cm²
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4.
Ratio
a:b is 4:3 and b:c is 3:5. Find a:b:c.
Answer: 4:3:5
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5.
Statistics
Find the mean, median and range of: 22, 11, 35, 96, 28, 84, 12
Answer: Mean = 41.1, Median = 28, Range = 85
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: x² + 5.4x
Answer: (x + 2.7)² - 7.29
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3.
Geometry
Find area of triangle: a = 29cm, b = 13cm, angle = 47°
Answer: 137.9cm²
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4.
Ratio
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 9:12:24
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5.
Statistics
Find the mean, median and range of: 17, 48, 16, 47, 55, 64, 17, 64, 72
Answer: Mean = 44.4, Median = 48, Range = 56
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: x² + 3.8x
Answer: (x + 1.9)² - 3.61
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3.
Geometry
Find area of triangle: a = 30cm, b = 30cm, angle = 70°
Answer: 422.9cm²
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4.
Ratio
a:b is 2:1 and b:c is 3:4. Find a:b:c.
Answer: 12:6:8
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5.
Statistics
Find the mean, median and range of: 70, 67, 13, 88, 10, 100, 60, 69, 55
Answer: Mean = 59.1, Median = 67, Range = 90
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: x² + 2.8x
Answer: (x + 1.4)² - 1.96
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3.
Geometry
Find area of triangle: a = 24cm, b = 17cm, angle = 61°
Answer: 178.4cm²
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4.
Ratio
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 4:2:4
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5.
Statistics
Find the mean, median and range of: 31, 78, 25, 31, 35, 58, 70, 92, 95
Answer: Mean = 57.2, Median = 58, Range = 70