ALGEBRA
Find the value for X if 36 ÷ 3 - (3 x 2) = X
X = 6
What is 3.867 rounded to 2 decimal places?
3.87
The cost price of a dress is $180. The dress is sold at a loss of 15%. How much money will the saleslady have lost?
$27
Find the mode of the following numbers:
2, 3, 4, 5, 4
4
Given a = (-3, -1) b=(-4, 3) c = (5, -2). Calculate 2a + 3c- 5b
(29, -23)
Find the value for p if 14 - 3p = 8
p = 2
The square of 13 is
169
A shopkeeper pays $85 for a radio. He sells it at a profit of 30% on the cost price. Calculate the selling price.
Selling price = $110.50
In a library, the number of books on each of 4 selves is:
45 56 39 60
What is the mean number of books on each shelf?
50 books
X is the point (1, 3) and Vector XY = (3, -2). Find the position Vector of Y(OY).
OY = (4, 1)
What are the factors of x2+6x+9
(x+3)2
What is 103.0495 rounded to 2 significant figures?
100
The gross monthly salary of a manager is $6000. Calculate his net annual salary after deductions of $1200 were made monthly.
$57,600
The weekly wages of 6 employees are
$105, $75, $89, $67, $126, $75, $33
What is the median wage?
$75
OG = (5, -1) OH = (-2, 4). Find Vector GH?
GH = (-7, 5)
Solve:
6x + 5 = 13 + 4x
x = 4
There are 800 pupils in a school. The ratio of boys to girls in the school is 3:7. Calculate the number of boys
240 boys
Mr. Short's electricity bill for a quarter amounts to $269.93. The fixed charge is $47.50 and the price of electricity is 16.8c per unit. How many units has he used?
1324 units
Calculate the mean from the given table
Amount Spent $ | Num students |
50 - 54 | 7 |
55 - 59 | 13 |
60 - 64 | 15 |
$58.14
Calculate |OT| to 3dp if OT = (-5, -4)
6.403
p = 3 and r = 5. The value of 2pr - 8r is
Evaluate (8/125)^(-2/3)
25/4
An article costing $60 is sold for $75. Express the profit as a percentage of the cost price.
25%
A packet contains 400 seeds.
There is a 7 in 10 chance of successful growth.
How many of the seeds should grow successfully?
280 seeds
4x + 4y= -3
x - 2y = 8
x = 2, y = -3
Calculate:
3 x (4 x 5²) ÷ 6 + 7 – 8
Remember BIDMAS
49
Fiona has savings of $3500 in an account. The value of her savings increases by 4% each year. How much will the savings be worth after two years?
$3785.60
The median of the five numbers: ( 10 5 15 5 x ) is 10. The range is 12. What is the value of x?
x = 17