Change pack
Capstone
Oct 1 - 7
25 questions
-
1.
Number
Simplify: 3√27
Answer: 9√3
-
2.
Algebra
Complete the square: 5x² + 60x + 4
Answer: 5(x + 6)² - 176
-
3.
Geometry
Find area of triangle: a = 13cm, b = 27cm, angle = 52°. Give your answer to 2 decimal places
Answer: 138.3cm²
-
4.
Ratio
a:b is 5:7 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 45:63:7
-
5.
Statistics
Find the mean, median and range of: 28, 20, 50, 86, 35, 59, 97. Give your answer to 2 decimal places
Answer: Mean = 53.57, Median = 50, Range = 77
-
1.
Number
Simplify: √432
Answer: 12√3
-
2.
Algebra
Complete the square: 4x² + 40x - 13
Answer: 4(x + 5)² - 113
-
3.
Geometry
Find area of triangle: a = 24cm, b = 27cm, angle = 50°. Give your answer to 2 decimal places
Answer: 248.2cm²
-
4.
Ratio
a:b is 9:7 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 72:56:49
-
5.
Statistics
Find the mean, median and range of: 22, 91, 21, 34, 26, 28, 25. Give your answer to 2 decimal places
Answer: Mean = 35.29, Median = 26, Range = 70
-
1.
Number
Simplify: √48
Answer: 4√3
-
2.
Algebra
Complete the square: 2x² + 16x + 7
Answer: 2(x + 4)² - 25
-
3.
Geometry
Find area of triangle: a = 29cm, b = 25cm, angle = 46°. Give your answer to 2 decimal places
Answer: 260.76cm²
-
4.
Ratio
a:b is 4:5 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 12:15:35
-
5.
Statistics
Find the mean, median and range of: 99, 39, 16, 86, 52, 57, 94, 50. Give your answer to 2 decimal places
Answer: Mean = 61.63, Median = 54.5, Range = 83
-
1.
Number
Simplify: 5√54
Answer: 15√6
-
2.
Algebra
Complete the square: x² - 5x - 11
Answer: (x - 5⁄2)² - 69⁄4
-
3.
Geometry
Find area of triangle: a = 18cm, b = 20cm, angle = 59°. Give your answer to 2 decimal places
Answer: 154.29cm²
-
4.
Ratio
a:b is 1:9 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 7:63:54
-
5.
Statistics
Find the mean, median and range of: 97, 20, 87, 21, 76, 90, 98, 84. Give your answer to 2 decimal places
Answer: Mean = 71.63, Median = 85.5, Range = 78
-
1.
Number
Simplify: √637
Answer: 7√13
-
2.
Algebra
Complete the square: 5x² - 50x + 9
Answer: 5(x - 5)² - 116
-
3.
Geometry
Find area of triangle: a = 13cm, b = 22cm, angle = 68°. Give your answer to 2 decimal places
Answer: 132.59cm²
-
4.
Ratio
a:b is 4:7 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 8:14:35
-
5.
Statistics
Find the mean, median and range of: 74, 17, 81, 52, 21, 19, 48. Give your answer to 2 decimal places
Answer: Mean = 44.57, Median = 48, Range = 64