Patterns and Algebraic Reasoning
The pattern below uses both addition and multiplication. What is the rule for the following pattern? What are the next three digits? What is the missing digit?
2, ___, 11, 23, ___, ____, ____
Rule: 2n+1
Missing Number: 5
3 digits: 47, 95, 191
What are the common factors of 6, 18, and 33?
1 and 3
A bag has 20 slips of paper numbered from 1 to 20. A slip of paper is chosen from the bag randomly. What is the probability that the number on the chosen slip is a multiple of 3?
3/10
What is the name for a shape that has 4 sides?
Quadrilateral
100 x 200
20,000
Lisa made a pattern using the rule 5n. What is the 10th term in her pattern?
50
A family of 4 baked a cake. They cut the cake into 12 pieces. Each family member at 2 pieces of cake. What fraction of the cake did they eat? What fraction of the cake is left over?
They ate ¾ of the cake. There is ¼ of the cake left.
They ate ⅓ of the cake. There is ⅔ of the cake left.
They ate 4/3 of the cake. There is ¼ of the cake left.
They ate all of the cake.
A
Lola is going on a trip to New York. She can travel in first class, second class, or business class. There are flights at 10:00 AM, 2:00 PM, and 6:00 PM. How many options does she have to travel?
9 different choices
Find the perimeter of a square with a side length of 4 cm.
16 cm
4x(7+5)
48
The table below shows how much a taxi ride costs for a different number of miles. How much would a 10-mile taxi ride cost?
Miles 1 2 3 4
Cost $4.50 $7.00 $9.50 $12.00
$29.00
Sarah and her sister Patty are making bracelets for their friends. Sarah has made 3 bracelets with 20 beads in each one. Patty made 5 bracelets with 2 times less the number of beads in each as Sarah did. How many beads did Patty use? How many beads did Sarah use? Who used more beads?
Sarah used 60 beads.
Patty made 50 beads.
Sarah used more beads.
List 3 ways you can make 30 cents using dimes, quarters, and nickels.
3 dimes
1 quarter and 1 nickel
2 dimes and 2 nickels
6 nickels
1 dime and 4 nickels
What are the three types of triangles?
Scalene, Isosceles, Equilateral
How many inches are in a ruler?
How many centimeters are in a ruler?
12 inches in a ruler
30 cm in a ruler
Sam and Sally are solving maths problems for the class. One of their problems asks them to find the rule and the missing number for the pattern below. Sally says the rule is (times 2) but Sam says the rule is (divided by 0.5). Are they correct? If so, who is correct? If not, what is the correct rule and what is the missing number?
2, ___, 12, 17, 22, 27, 32
Rule: +5
Missing Number: 7
A bakery sells 23 loaves of bread and 17 cakes in one day. If the bakery sells each loaf of bread for $5 and each cake for $18, how much money do they make each day? How much money do they make in one week?
They make $421 each day.
They make $2,947 in one week.
Chris goes to a fast food restaurant to get some lunch. There is a new combo deal that he wants to try. The combo deals says that you can get 1 burger, 1 drink, 1 side, and 1 desert for $5. The list below shows the number of burgers, drinks, sides, and deserts available. How many options are there for Chris to choose?
Burgers: Veggie, Meat Lover, Cheese
Drinks: Sprite, Juice, Water
Sides: Fries, Chips
Desert: Apple Pie, Cookies, Brownies
54 options
Is a pentagon a quadrilateral?
No
How many days are in February during a leap year?
29 days
Ella and Peter are making a pattern to show how long it takes to bake cakes. They completed the following table below. How long will it take to bake 10 cakes?
#Cakes 1 2 4
Time(Min) 10 20 40
100 minutes
1 hr and 40 mins
There are 4 boats being used for 4 different tours in Disneyland. Each boat can hold 20 passengers at a time. There are 120 people waiting for a tour on Boat A. There are 160 people waiting for a tour on Boat B. There are 200 people waiting for a tour on Boat C. There are 60 people waiting for a tour on Boat D. How many people are waiting for a boat ride? How many trips will each boat need to take to fit all the passengers?
There are a total of 540 people waiting for a boat ride.
Boat A needs to take 6 trips.
Boat B needs to take 8 trips.
Boat C needs to take 10 trips.
Boat D needs to take 3 trips.
Bob is rolling one dice with 6 sides numbered 1 to 6. What is the probability that he rolls an even number? What is the probability of rolling an odd number?
50% chance of rolling an even number.
50% chance of rolling an odd number.
A rectangle has a side length of 4 cm and 10 cm. What is the area of the rectangle?
The height is 3 cm. What is the volume of the rectangle?
Area: 40 cm2
Volume: 120 cm3
It is 4:00 PM in Australia. It is 7:00 AM the next day in California. What is the time difference between the two?
15 hour time difference