Indices
Simplify: (−2a4b)3
-8a12b3
6
A bag contains 7 red sweets, 4 blue sweets, and 1 green sweet. What is the probability of choosing a sweet that is not blue? (Leave your answer in the simplest fraction form)
2/3
$10000 is invested for 8 years at 4.5% p.a compounded yearly. What is the amount of interest earned over this period? (To the nearest dollar)
$4221
The area of a kite with diagonal lengths of 28 cm and 15 cm is?
210 cm2
Simplify:
(ab2 x 2b2c3 x 3c3a4 ) ÷ (a3b3 + 2a3b3 + 3a3b3)
abc6
Give the limit of accuracy for 5.7 kg
(5.7 ± 0.05) kg
What is the probability of drawing two kings from a standard deck of cards, given that the first card is a king? (Leave your answer in simplest fraction form)
1/17
Calculate the amount to which $10 000 grows if it is invested for 7 years at 9% p.a. interest compounded quarterly. (To the nearest dollar)
$18645
Determine if each following statement is true or false.
1. A parallelogram is a trapezium.
2. A square is a kite.
3. A rectangle is not a trapezium.
1. True
2. True
3. False
Divide the product of (−3x7y5)4 and (−2xy6)3 by (-6x3y8)2
-18x25y22
Express 2399685.374 in scientific notation with 4 sig.fig.
2.400 x 105
A coin is tossed five times. What is the probability of getting at least one tail?
31/32
A printer valued at $550 three years ago, now it worths $271.17. What rate does it depreciate by each year?
21%
If the length and width of a rectangle are L and W respectively. What happens to the area if the length and width are both tripled?
9 times the original area
For what value of a is it true:
a x a ≤ a + a ?
0 ≤ a ≤ 2
When a number was rounded to 2 significant figures, the answer was 520. What is the smallest and the largest the number could have been?
515 and 524 respectively
Twenty tickets are sold in a raffle which has 2 prizes. If you buy 5 tickets, what is the probability of winning at least one prize?
17/38
Susan has $ 3881.60 in her account after having an investment of $3200 for 3 years. Calculate the interest rate per month. (2 decimal places)
0.59% per month
A piece of aluminum 84cm by 30 cm has circles of diameter 6 cm cut from it. What is the area of the aluminum left over? Give your answer correct to 1 decimal place.
540.8 cm2
For what value of a is it true:
a x a x a ≤ a + a + a?
a ≤ - √3 and 0 ≤ a ≤ √3
When a number was rounded to 2 significant figures, the answer was 5200. What is the smallest and the largest the number could have been?
5150 and 5249 respectively
A six-sided die is biased so that the probability of rolling a 5 or a 6 is 0.2, and the probability of rolling a 1, a 2 or a 3 is 0.3. If the die is rolled twice, determine the probability of rolling a 4.
0.75
Abbie and Billy share the amount of $6728. How much do they each have so that the shares of Abbie at the end of 6 years may be equal to the shares of Billy at the end of 8 years, compound interest being 5%?
Abbie: $3528
Billy: $ 3200
A 50m by 20m swimming pool has a 2m wide path around it (the outer border of the path is always 2m from the nearest part of the pool). Find the area of the path. (Leave your answer in exact value)
280 + 4pi m2