Probability
A bag contains 8 candies, 4 pieces of chocolate, 9 lollipops, and 2 pieces of gum. A random piece of candy is taken out of the bag. What is the probability of Sally getting a piece of candy?
The probability of Sally getting a piece of candy is 9/23.
3y + 25 = 8y - 10
y = 7
Penny loans $2000 at 5.3% per year over 7 years. What is the total amount?
The total amount is $2742.
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall? Round your answer to 2 decimal places.
95.4 ft
The rectangular prism has a width of 7 meters, a length of 8 meters and a height of 2 meters. Find the surface area.
172 m2
Two four-sided dice (each with numbers 1 to 4) are rolled. What is the probability that the sum of the numbers rolled will be 5?
The probability is 1/4 (4/16).
8x – 16 = 6x + 2
x = 9
Frederick bought a 3L bottle of shampoo for $8.39. Charlene bought 1.2 L of the same shampoo for $3.89. Which option is the best choice?
Frederick: $2.80/L < Charlene: $3.24/L
The cheaper option is Frederick’s for $2.80/L
A park is in the shape of a rectangle, 8 km long and 6 km wide. How much shorter is your walk if you walk diagonally across the park than along the two sides of it?
4 km
Find the volume of a right triangular prism. Its triangular face has a base and height of 3 cm and 4cm. The length of the prism is 7 cm.
42 cm3
Kathy and Jane are playing a game. They roll a die twice and add the numbers they roll. A sum of 3 scores a point. What is the probability of rolling a sum of 3?
The probability is 1/18 (2/36).
4(x+3) - 6(x-6) + 7 = 8(x-11)
x = 14.3
A cab costs $3.29. A monthly pass costs $51.98. Ally estimates that she’ll call a cab at least 24 times this month. Trent estimates that he’ll call a cab at least 19 times this month. Should they buy the monthly passes?
Ally: $78.96 > $51.98 Trent: $62.51 > $51.98
They should both buy the monthly pass.
There is an isosceles triangle, with a base of 10 cm and two sides of 13 cm. Find the area.
60 cm2
Tommy wants to wrap a present in a box for Sarah. The length, width, and height of the present are 8cm, 3cm and 2cm. How much wrapping paper will Tommy need to wrap the present?
92 cm2
A container contains 30 blue marbles, 5 red marbles, 15 yellow marbles, and 10 purple marbles. What is the probability of getting a yellow marble without looking?
The probability of getting a yellow marble is 1/4. (15/60)
The sum of two numbers is 82, and their product is 1456. Find the two numbers.
26 and 56
If you deposit $5000 into an account paying 7% annual interest compounded monthly, how much money will be in the account after 8 years?
There will be $8739.13 in the account after 8 years.
Which is a right-angled triangle? Triangle A has side lengths of 9 cm, 13 cm, and 18 cm. Triangle B has side lengths of 8 cm, 15 cm, and 17 cm. Triangle C has side lengths of 9 cm, 19 cm, and 23 cm. Triangle D has side lengths of 8 cm, 10 cm, and 14 cm.
Triangle B
The diagram shows a wooden block that has had a hole drilled through it. The length, width and height of the wooden block are 4 cm, 6cm, and 6 cm. The diameter of the hole is 2 cm, and the height of the hole is 6 cm. Calculate the volume of the wooden block. Use 3.14 as pi and give your answer to 2 decimal places.
125.16 cm3
Hailey has 3 pairs of pants: an orange pair, a black pair, and a green pair. She has 2 shirts: one blue and one pink. She also has three jackets: one black, one white, and one navy blue. What is the probability that an outfit won’t include something black?
The probability of an outfit that doesn't include something black is 4/9 (8/18).
A man said, “Each of my sons has as many brothers as sisters and each of my daughters has twice as many brothers as sisters”. How many sons and daughters does the man have?
The man has 2 sons, 3 daughters.
How much money would you need to deposit today at 11% annual interest compounded monthly to have $15,000 in the account after 4 years?
You would need to deposit $9679.93 to have $15,000 in the account after 4 years.
A pencil box, in the shape of a rectangular prism, has a length of 16 cm, a width of 8 cm and a height of 12 cm. Find the length of the longest pencil that would fit inside the box. Round to 2 decimal places.
21.54 cm
A concrete beam is to rest on two concrete pillars. The beam is a cuboid with sides of length 0.5 m, 3 m and 0.4 m. The pillars have a diameter of 0.4 m and a height of 2 m. Calculate the total volume of concrete needed to make the beam and the pillars. Use 3.14 as pi and round your answer to 2 decimal places.
1.1 m3