This Summer Think Math!
Summer Math Review
For
Students who completed Math 4
1. Joe collects apples off of his family's apple tree. He collects 14 apples per week. He collects apples for 5 weeks.
Which expression can be used to find the number of apples that Joe collects?
- 14 + 5
- 14 x 5
- 14 ÷ 5
- 14 – 5
2. Amos buys 5 packs of 18 balloons. Crystal buys 3 packs of 24 balloons.
Which inequality shows the relationship between the number of balloons Amos buys and the number of balloons Crystal buys?
- 5 x 18 > 3 x 24
- 5 x 18 < 3 x 24
- 5 + 18 > 3 + 24
- 5 + 18 < 3 + 24
3. Pat has eight straws.
Which figure could be made using all 8 straws?
- a cube
- a rectangular prism
- a triangular prism
- a square pyramid
Explain your answer using pictures, words, or numbers.
4. The perimeter of the figure below is 80 inches.
What is the length, in inches, of the missing side?
Explain your answer below.
5. Look carefully at the graph below.
Which two days shows the greatest increase?
Explain your thinking.
6. Place the fractions below on the number line.
1
0 4
Explain how you determined where to place the fraction on the number line.
7. What are the first five multiples of 6?
8. List all of the factors of the number 24.
9. John uses shapes to hide numbers in the number sentence below. He always covers the same numbers with the same shape.
+ = 8
+ =
+ = 13
Step A
Find the hidden numbers. Write each number on its shape.
Step B
Write the steps you followed to solve John’s puzzle.
10. Stacy baked cakes in different shapes.
What fraction of the cakes are rectangles?
11. Jose has three cards numbered 2, 3, 6. He puts them facedown on a table. Use the two clues below to find each card.
- The numbers on Cards A and C are multiples of 2.
- The number on card B is less than the number on card C.
Answer: A is ______. B is ______.
C is ______.
Write the steps you followed to solve this problem.
12. Lisa had 24 cookies. She gave ½ of them to Joanna and ¼ to Nick. How many cookies did Lisa give Joanna?
Step A: Show your work.
Answer: ______cookies.
Step B
How many cookies did Lisa give to Nick?Show your work.
Answer: ______cookies.
Step C
How many cookies did Lisa have left? Show your work.
13. On the number line below, show the locations of ¼ and ¾.
0 1
Explain how you determined the locations of the fractions.
14. To estimate the sum of 6,565 and 3,372, Maria added 7,000+3,000. Will her estimate be more or less than the actual sum?
Answer ______
Explain your answer.
15. Julie drove to Philadelphia. She left at 8:40 AM and arrived at 11:57 AM. How many minutes did she travel?
Show your work.
Answer ______
.
16. Michael’s father will drive Lianne and 15 of her friends to the zoo. He will have to make several trips because he can only fit himself and 4 other friends.
How many roundtrips must Lianne’s father make?
Answer ______trips.
Explain your answer using pictures, words, or numbers.
17. Nancy has 5 packages of pencils. Each package contains 24 pencils. If she gives 9 pencils to her friend, how many pencils will she have left?
Answer ______
Show your work.
18. George and Martha want to have the same amount of money. How much money should George give to Martha?
19. Solve the following problems.
- 4,689-2,349
- 5,008-899
- 1,000-749
20. Sort these fractions. Are they closer to 0, ½ or 1?
5/6, 3/4, 7/9, 2/5, 2/3, 1/8
Closer to 0Closer to ½Closer to 1
21. What are the missing numbers?
38_4
410_
+ _74
8900
22.A student says that 1/5 is bigger than 1/4 because 5 is bigger than 4.
Are they correct? Why or why not? Prove your answer.
23. Lee and his family were planning a trip to visit his grandparents, who live 400 miles south of Lee’s family. If they travel at an average speed of 50 miles per hour and decide to stop for 15 minutes after every 100 miles, how long will the trip take?
Answer: ______
Use pictures, words, or numbers to explain your answer.
24. Write each number.
- Three million, nine hundred fifty-four thousand, six hundred twenty-nine
______
- Nine million, six hundred twenty-one thousand, six hundred eight
______
- Two million, thirty-nine thousand, sixty- two
______
25. The area of Mr. Burd’s rectangular garden is 240 square feet.
- Give at least two different possible measurements for his garden. Draw a model and label the side lengths.
Garden 1:Garden 2:
Compare the perimeters of these gardens.
Perimeter of Garden 1: ______
Perimeter of Garden 2: ______