Math 1
Carissa bought a box of candy to share with her friends. However, when she opened the box there was much less candy than she expected. The box says it contains a total of 420 grams of candy. In the box, there are two types of candies: Sour Sassies and Caramellos. Each Sour Sassy has a mass of 15 grams and each Caramello has a mass of 10 grams.
If she counts 10 Sour Sassies and 25 Caramellos in the box, was the information on the box correct? Justify your answer.
I am a 4-digit number. Use the following clues to determine my digits:
My hundreds digit is the difference between the number of sides of a hexagon and the number of sides of a triangle.
Reading my digits from left to right, they are in increasing order from the thousands digit to the ones digit. Also, they increase by the same amount each time.
The difference between my tens digit and my ones digit is equal to the number of sides of an octagon divided by the number of right angles in a rectangle.
What number am I?
Soraya and Aydin both work as delivery drivers for a local business. Today they have packages to deliver in total. Soraya was given three times as many packages as Aydin to deliver.
They decide it would be better for each person to deliver the same number of packages. How many packages should Soraya give Aydin so that they have the same number of packages?
In one hour, the eight person crew of the Hook Line and Sinker boat caught 120 fish. They then sold each fish for $3 and divided the total amount of money equally between the crew members.
How much money did each crew member receive?
Caleb’s family went apple picking. They came home with 24 apples.
They dried one sixth of the apples to make snacks. How many apples did they dry?
They used one third of the apples to make applesauce. It takes two apples to make one jar of applesauce. How many jars did they make?
They used one fourth of the apples to make two pies. How many apples were in each pie?
They saved the rest of the apples to eat. How many apples did they have to eat?
Cy Kler has mapped out a 560 km bike route that he wants to complete in seven days. Each day he wants to ride 15 km more than the day before.
If Cy is able to follow his plan, then how many kilometres will he have to ride on the seventh day of the trip?
Antoine has three tomato plants. The total number of tomatoes on all his plants is , and one of his plants has exactly 4 more tomatoes than another plant. If the number of tomatoes on each plant is a prime number, determine all possibilities for the number of tomatoes on each plant.
Sophia has been making two types of necklaces: small necklaces that contain four beads each and large necklaces that contain seven beads each.
After creating a certain number of small and large necklaces, a total of 99 beads have been used. Determine all possibilities for how many of each type of necklace Sophia has made.
On Saturday afternoon, Ajay, Badr, Ciro, Dena, and Ema got on the same ION light rail train at University of Waterloo station. Each person was listening to something different on their headphones and each person got off at a different station. Using the clues below, determine which station each person got off at, and what they were listening to.
Ciro got off the train at Fairway station but was not the person who was listening to the news.
The person who got off at Central station was listening to an audiobook, and was not Dena.
The person who was listening to a hockey game was not the person who got off at Borden station.
Ema was listening to music and got off at Queen station.
Ajay was listening to a podcast but was not the person who got off at Willis Way station.
Rory biked 36 km up a trail from his campsite to a lookout point. On the way up, his average speed was 9 km/hr. On the way back down, he biked faster, with an average speed of 12 km/hr. What was his average speed, in km/hr, for the entire trip?