ELEMENTARY MATHEMATICS PRACTICE PACKET

Transcription

1 MIAMI-DADE COUNTY PUBLIC SCHOOLS DISTRICT SECME OLYMPIAD SECME: The Gold Standard in STEM ELEMENTARY MATHEMATICS PRACTICE PACKET Name:

2 1. Annie, Silvia, and Raquel are on a basketball team. Each needs to choose a number for their basketball jersey. The available numbers are 34, 25, 18, and 37. Use the clues to find each player s number: Clues: Annie and Raquel want an even number on their jersey, but Silvia wants an odd number. Silvia loves lucky number 7. She wants the sum of the digits on her jersey to be 7. Raquel likes Silvia s idea and also wants the sum of the digits on her jersey to be 7. Answer: Annie s number is Silvia s number is Raquel s number is

3 2. Look at the pencil below: What is the length of the pencil to the nearest quarter inch? Use the ruler provided. Answer:

4 3. Earlier this year, Sue and Michael are reading the novel The Lighthouse by The Shore. Each night, they held a competition on who could read the most pages. One evening, Sue read from the top of page 35 to the bottom of page 45. Michael read 10 pages of the novel. Who read more pages? Show your work. Answer: read more pages than.

5 4. Kenneth s parents are going to celebrate his birthday at a park. He can invite 10 friends. Some parents with mini vans volunteered to drive the kids to the park so that all the kids can arrive at the same time and enjoy every minute together. If each of the mini vans could comfortably seat 4 kids, what is the least number of mini vans needed to take the kids to the park? All other parents, who want to attend, will drive themselves to the park. Show your work. Answers:

6 5. There are 4 bookshelves in the classroom. Each bookshelf has room for 20 books. If Mrs. White has 90 books, how many books will not be able to fit on the shelves? Answer: books

7 6. On the grid below, plot and label each ordered pair. Connect the points in order, connecting the last point to the first to make a closed figure. 1 st 2 nd 3 rd 4 th 5 th B(1,2) H (2,3) W (4,3) X (4,1) K (2,1) Name the figure. Answer: The figure is a.

8 7. SECME Olympiad It s About Time! a) Name two hours when the hands of the clock form a right angle: b) Name four hours when the hands of the clock form an acute angle: c) Name four hours when the hands of the clock form an obtuse angle:

9 8. SECME Olympiad How many rectangles are in the figure? Answer: rectangles

10 9. Write in the boxes the numbers to show the arrows position on the number line: Answers: Write numbers in the indicated boxes.

11 10. The cafeteria staff at Village Green Elementary took a poll of fourth grade students to find out how many students liked pizza, chicken nuggets, or hamburgers. The results are shown in the Venn Diagram: Hamburger Answers: Write responses on the lines provided. 1) Sixty-eight students liked pizza. How many students liked hamburger? 2) How many students liked both chicken nuggets and hamburger, but not pizza? 3) How many students liked all three types of food?

12 11. SECME Olympiad Mrs. Raines brought home 1 dozen eggs. She accidentally 2 dropped the carton on the floor and 1 of the eggs broke. 3 How many eggs does she have left? Answer: eggs

13 12. Place > or < in the box: Answer: Write symbol in the box.

14 13. SECME Olympiad Maria s bike odometer read 63 miles. She rode her bike to school and back 4 days last week. On Saturday, she rode to the park and back, a total distance of 3 miles. At the end of the five trips, her odometer showed 74 miles. Find the distance d from her house to school and back. Use a strategy of your choice to find d. Answer: d = miles

15 14. SECME Olympiad Say you are a fifth grader: Assume it takes about 735 turns of an average 5 th grader s bicycle tire to go 1 mile. How many times, to the nearest thousand, would your tire turn around if you biked beside the runners in a 26-mile marathon? Show your work. Answer: miles

16 15. SECME Olympiad Write each number from 1 through 10 in a box; numbers do not repeat! Each box must contain a number that is the difference of two boxes above it, if there are two boxes above it. You may use the numbered paper tiles to help you find the answer; don t forget to write your final answer (numbers in the boxes)! Answers: Write the numbers in the boxes

17 16. The first 500 people to visit Disney were given a choice of an autograph book, T-shirt, a pin, or a canvas bag, each with the Disney theme park logo. It turns out that 1 of the people chose the autograph book, chose a T-shirt, and 1 chose a pin. 10 How many of each gift was given away? Answers: autograph book T-shirt pin canvas bag

18 17. Four classmates are to stand in order from tallest to shortest. Tom is taller than Sally. Sally is taller than Bob. Maria is taller than Bob but shorter than Sally. Using the clues, place the four friends in order from tallest to shortest. Answers: Tallest Shortest

19 18. You have been asked to paint the outside surface of this figure made of cubes glued together. It will take approximately one pint of paint per square face. You do not have to paint the bottom. A. How many pints of paint will you need? B. If the paint costs $4.99 per pint, estimate the cost of the paint to the nearest dollar. Answers: A. B.

20 19. Dogs, cats, and donkeys had a tug-of-war. Four cats tied with three dogs. Two donkeys tied with six dogs. Which side won when one donkey tugged with five cats? = =? Answers:

21 20. Peter found a magic square that would grant him a wish if he solved it. First, he must make sure the digits 1-9 are in each square and they do not repeat. Second, the sum of the digits across each row and down each column, must be the same as the sum along each diagonal. Solve the magic square Answers: place your answers in the boxes

22 21. Mike needs to buy 4 packages of pencils at 89 each, 2 packages of paper at $1.19 each, and an eraser package for 95. He has $10. Estimate, to the nearest dollar, how much money he will have left. Answer: about $

23 22. The owner of Pets on the Go pet store currently has the following animals in his store: 5 dogs, 4 cats, 12 birds, 2 turtles, 3 snakes, 2 giant lizards, 1 pot-bellied pig, and 4 spiders. How many legs were on the 33 animals? No, there are no animals with missing legs Answer: legs

24 23. A worm is at the bottom of a 10-foot hill. He crawls up the hill 4 feet a day. At night when he rests, he slides down feet. How long does it take the worm to crawl up the hill? Answer: days

25 24. What fraction of the square is shaded? Answer: is shaded

26 25. A number n is divided by 3 and the result is multiplied by 7. The 6 is subtracted from the result to give 36. What is the original number n? [( n 3) 7] 6 gives 36. What is n? Answer: n =

27 MIAMI-DADE COUNTY PUBLIC SCHOOLS DISTRICT SECME OLYMPIAD SECME: The Gold Standard in STEM ELEMENTARY MATHEMATICS PRACTICE PACKET ANSWER KEY

28 1. Annie, Silvia, and Raquel are on a basketball team. Each needs to choose a number for their basketball jersey. The available numbers are 34, 25, 18, and 37. Use the clues to find each player s number: Clues: Annie and Raquel want an even number on their jersey, but Silvia wants an odd number. Silvia loves lucky number 7. She wants the sum of the digits on her jersey to be 7. Raquel likes Silvia s idea and also wants the sum of the digits on her jersey to be 7. Answer: Annie s number is 18 Silvia s number is 25 Raquel s number is 34

29 2. Look at the pencil below: What is the length of the pencil to the nearest quarter inch? Use the ruler provided. Answer: 4 1 inches 2

30 3. Earlier this year, Sue and Michael are reading the novel The Lighthouse by The Shore. Each night, they held a competition on who could read the most pages. One evening, Sue read from the top of page 35 to the bottom of page 45. Michael read 10 pages of the novel. Who read more pages? Show your work. Answer: Sue read more pages than Michael..

31 4. Kenneth s parents are going to celebrate his birthday at a park. He can invite 10 friends. Some parents with mini vans volunteered to drive the kids to the park so that all the kids can arrive at the same time and enjoy every minute together. If each of the mini vans could comfortably seat 4 kids, what is the least number of mini vans needed to take the kids to the park? All other parents, who want to attend, will drive themselves to the park. Show your work. Answers: 3 mini vans

32 5. There are 4 bookshelves in the classroom. Each bookshelf has room for 20 books. If Mrs. White has 90 books, how many books will not be able to fit on the shelves? Answer: 10 books

33 6. On the grid below, plot and label each ordered pair. Connect the points in order, connecting the last point to the first to make a closed figure. 1 st 2 nd 3 rd 4 th 5 th B(1,2) H (2,3) W (4,3) X (4,1) K (2,1) 4 3 H W 2 B 1 K X Name the figure. Answer: The figure is a pentagon.

34 7. SECME Olympiad It s About Time! a) Name two hours when the hands of the clock form a right angle: 3:00 and 9:00 b) Name four hours when the hands of the clock form an acute angle: 1:00, 2:00, 10:00 and 11:00 c) Name four hours when the hands of the clock form an obtuse angle: 4:00, 5:00, 7:00 and 8:00

35 8. SECME Olympiad How many rectangles are in the figure? Answer: rectangles 15

36 9. Write in the boxes the numbers to show the arrows position on the number line: Answers: Write numbers in the indicated boxes.

37 10. The cafeteria staff at Village Green Elementary took a poll of fourth grade students to find out how many students liked pizza, chicken nuggets, or hamburgers. The results are shown in the Venn Diagram: Hamburger Answers: Write responses on the lines provided. 1) Sixty-eight students liked pizza. How many students liked hamburger? 2) How many students liked both chicken nuggets and hamburger, but not pizza? 3) How many students liked all three types of food?

38 11. SECME Olympiad Mrs. Raines brought home 1 dozen eggs. She accidentally 2 dropped the carton on the floor and 1 of the eggs broke. 3 How many eggs does she have left? Answer: eggs 4

39 12. Place > or < in the box: > Answer: Write symbol in the box.

40 13. SECME Olympiad Maria s bike odometer read 63 miles. She rode her bike to school and back 4 days last week. On Saturday, she rode to the park and back, a total distance of 3 miles. At the end of the five trips, her odometer showed 74 miles. Find the distance d from her house to school and back. Use a strategy of your choice to find d. Answer: d = 2 miles

41 14. SECME Olympiad Say you are a fifth grader: Assume it takes about 735 turns of an average 5 th grader s bicycle tire to go 1 mile. How many times, to the nearest thousand, would your tire turn around if you biked beside the runners in a 26-mile marathon? Show your work. Answer: turns 19,110

42 15. SECME Olympiad Write each number from 1 through 10 in a box; numbers do not repeat! Each box must contain a number that is the difference of two boxes above it, if there are two boxes above it You may use the numbered paper tiles to help you find the answer; don t forget to write your final answer (numbers in the boxes)! Answers: Sample Answer answers may vary.

43 16. The first 500 people to visit Disney were given a choice of an autograph book, T-shirt, a pin, or a canvas bag, each with the Disney theme park logo. It turns out that 1 of the people chose the autograph book, chose a T-shirt, and 1 chose a pin. 10 How many of each gift was given away? Answers: 125 autograph book 250 T-shirt 50 pin 75 canvas bag

44 17. Four classmates are to stand in order from tallest to shortest. Tom is taller than Sally. Sally is taller than Bob. Maria is taller than Bob but shorter than Sally. Using the clues, place the four friends in order from tallest to shortest. Answers: Tallest Shortest Tom Sally Maria Bob

45 18. You have been asked to paint the outside surface of this figure made of cubes glued together. It will take approximately one pint of paint per square face. You do not have to paint the bottom. A. How many pints of paint will you need? B. If the paint costs $4.99 per pint, estimate the cost of the paint to the nearest dollar. Answers: A. B. 32 $160

46 19. Dogs, cats, and donkeys had a tug-of-war. Four cats tied with three dogs. Two donkeys tied with six dogs. Which side won when one donkey tugged with five cats? = =? Answers: Cats

47 20. Peter found a magic square that would grant him a wish if he solved it. First, he must make sure the digits 1-9 are in each square and they do not repeat. Second, the sum of the digits across each row and down each column, must be the same as the sum along each diagonal. Solve the magic square Answers: Provided in the boxes

48 21. Mike needs to buy 4 packages of pencils at 89 each, 2 packages of paper at $1.19 each, and an eraser package for 95. He has $10. Estimate, to the nearest dollar, how much money he will have left. Answer: about $ 3.00

49 22. The owner of Pets on the Go pet store currently has the following animals in his store: 5 dogs, 4 cats, 12 birds, 2 turtles, 3 snakes, 2 giant lizards, 1 pot-bellied pig, and 4 spiders. How many legs were on the 33 animals? No, there are no animals with missing legs Answer: legs 112

50 23. A worm is at the bottom of a 10-foot hill. He crawls up the hill 4 feet a day. At night when he rests, he slides down feet. How long does it take the worm to crawl up the hill? Answer: days 4

51 24. What fraction of the square is shaded? 3 Answer: 8 is shaded

52 25. A number n is divided by 3 and the result is multiplied by 7. The 6 is subtracted from the result to give 36. What is the original number n? [( n 3) 7] 6 gives 36. What is n? Answer: n = 18