TIMSS 2011 released items: Mathematics

Transcription

1 TIMSS 2011 released items: Mathematics The items shown in this document are real items that were administered to Fourth class pupils who took part in TIMSS in Each item is shown in the format that it was presented in Ireland, along with the correct answer and the percentage of pupils who answered the item correctly in Ireland and at the international average. In a small number of cases, the international average percent correct has been alternately rounded up or down (so that, for example, 72.5% becomes 73% in one instance and 72% in the next), because more detailed information was not available at the time of writing. Where this was necessary, alternate rounding was chosen so as not to artificially inflate or deflate the scores, which would have occurred by uniformly rounding up or down. 1 Note: If the responses to items are not clearly visible in green and yellow boxes, you may need to change the default settings for viewing PDFs in your browser or to use a different browser. 1 Because the percent corrects are reported in terms of the total percent, rather than the valid percent (excluding missing data), in the TIMSS international reports, we also present the total percents here.

2 Trading Cards Instructions: Questions 1, 2, and 3 are about trading cards. The town fair had a booth where people could trade cards. 1 animal card is worth 2 cartoon cards. 2 animal cards are worth 3 sports cards. Some children went to the booth to trade cards. MP31346 Questions for Trading Cards begin on the next page. Fourth Class Booklet 1 Page 6

3 Trading Cards (Continued) 1 Trading Animal Cards M01_01 A. Becky had 5 animal cards to trade for cartoon cards. How many cartoon cards would she get? Answer: cartoon cards B. Jim had 8 animal cards to trade for sports cards. How many sports cards would he get? Answer: sports cards C. Katrina had 6 animal cards. She wanted to trade them for as many cards as possible How many cartoon cards would she get? How many sports cards would she get? Should she trade for cartoon cards or trade for sport cards? Answer: M Questions for Trading Cards continue. Fourth Class Booklet 1 Page 7

4 Trading Cards (Continued) 2 Trading Sports Cards M01_02 Steve had 15 sports cards to trade for animal cards. How many animal cards would he get? Answer: animal cards M Trading Cartoon Cards M01_03 Brad had 8 cartoon cards to trade for sports cards. How many sports cards would he get? Answer: sports cards M End of Trading Cards section. Fourth Class Booklet 1 Page 8

5 5 There are 218 passengers and 191 crew members on a ship. How many people are on the ship altogether? 70 M01_05 Answer: M Fourth Class Booklet 1 Page 9

6 M01_ cm 1 cm 2 cm 2 cm 2 cm 2 cm Susan has the 6 pieces of cardboard shown above. Which of the following shapes could Susan make using all 6 of these pieces without cutting them? a b c d M cm 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm 1 cm 2 cm 2 cm 2 cm 2 cm Fourth Class Booklet 1 Page

7 M01_07 7 Which of the following shows the position of the shape above after a half turn or 180 rotation? a b c d M M The scale on a map indicates that 1 centimetre on the map represents 4 kilometres on the land. The distance between two towns on the map is 8 centimetres. How many kilometres apart are the two towns? M01_08 a 2 b 8 c 16 d 32 Fourth Class Booklet 1 Page 11

8 9 Duncan first travelled 4.8 km in a car and then he travelled 1.5 km in a bus. How far did Duncan travel? M02_01 a b c d 6.3 km 5.8 km 5.13 km 4.95 km M M0591 Which fraction is not equal to the others? a b c d M02_02 11 In a soccer tournament, teams get: 3 points for a win 1 point for a draw 0 points for a loss Zedland has 11 points. What is the smallest number of games Zedland could have played? Answer: M02_03 M0501 Fourth Class Booklet 1 Page 12

9 12 Mary left Apton and rode at the same speed for 2 hours. She reached this sign. M02_04 Brandon, 45 km Apton, 30 km Mary continues to ride at the same speed to Brandon. How many hours will it take her to ride from the sign to Brandon? a hours b 2 hours c 3 hours d hours M0507 Fourth Class Booklet 1 Page 13

10 = Answer: M02_05 M Conor has to form figures 1 to 4 with matches. Figures 1, 2, and 3 are shown below. M02_06 He needs four matches to form figure 1, seven matches to form figure 2, and ten matches to form figure 3. He uses the same rule each time to make the next figure in the pattern How many matches will he need to form figure 4? 70 Answer: M Fourth Class Booklet 1 Page 14

11 M02_07 15 A. Complete the table to show where the places are. The first one has been done for you Places Playground Grid Square B2 School Junction of Maple and Oak Streets 4 Elm Street Fire Station 3 Maple Street 2 Pine Street Oak Street Playground School 1 Library Shop A B C D E F B. Troy lives in a house in square C4. Put an X in the square to show where Troy lives. M0564 Fourth Class Booklet 1 Page 15

12 16 Jay has to draw a shape. It must have 5 sides. It must have one line of symmetry. Jay has started to draw the shape. M02_08 Complete Jay s shape. 11 M0515 Fourth Class Booklet 1 Page 16

13 M02_09 17 How many lines of symmetry does this figure have? a 1 b 2 c 3 d 4 M0519 M Favourite Ice Cream Flavours Flavour Number of Children Vanilla stands for 4 children M02_ Chocolate Strawberry Lemon How many children chose vanilla as their favourite flavour? Answer: 70 Fourth Class Booklet 1 Page 17

14 19 The graph shows the number of pupils at each class in the Pine School. 35 Pine School M02_11 Number of Pupils Class In the Pine School there is room in each class for 30 pupils. How many more pupils could be in the school? a 20 b 25 c 30 d 35 M Stop Do not start working on Part 2 until you are told to do so. If you have finished Part 1 of the test before the time is over, you may go back and check your answers. Fourth Class Booklet 1 Page 18

15 37 In which number does the 8 have the value of 800? a 1468 b 2587 c 3809 d 8634 M03_01 M04 38 Paint comes in 5 litre cans. Seán needs 37 litres of paint. How many cans must he buy? a 5 b 6 c 7 d 8 M03_02 M Shade 1 2 of the large triangle. 70 M03_03 11 M0464 Fourth Class Booklet 2 Page 31

16 40 Anna has these cards with numbers on them M03_04 What is the smallest three digit number she can show with the cards? She may use each card only once. Answer: M0414 M Write a number that is larger than 5 and is smaller than 6. Answer M03_05 11 Tom ate of a cake, and Jane ate of the cake. How much of the cake did they eat altogether? Answer: M M03_06 Fourth Class Booklet 2 Page 32

17 43 One of these angles is a right angle. Which one? M03_07 a b c d M M Write the names of shapes A, B, and C in the spaces provided M03_08 A C B Fourth Class Booklet 2 Page 33

18 M03_09 45 Ann stacks these boxes in the corner of the room. All the boxes are the same size. How many boxes does she use? M a 25 b 19 c 18 d 13 M03_ 46 m Draw the reflection of the triangle. Line m is the mirror line. M Fourth Class Booklet 2 Page 34

19 47 The school playground is a square. The playground is 0 metres long. Ruth walks all the way around the edge of the playground. How far does she walk? a b c d 0 metres 200 metres 400 metres,000 metres M03_11 M M03_12 48 A B C D E F Seán used the table to sort these shapes. Put the letter of each shape in the space where it belongs. Shape A has been done for you. 20 All sides are the same length All sides are NOT the same length Has 4 Sides A Does Not Have 4 Sides M Fourth Class Booklet 2 Page 35

20 49 Ahmed made a survey of the favourite colour of the pupils in 4 classes Class 1 Red Green Blue Class 2 Red Green Blue M03_ Class 3 Red Green Blue Class 4 Red Green Blue In which class do the fewest pupils choose blue? a Class 1 b Class 2 c Class 3 d Class 4 M Fourth Class Booklet 2 Page 36

21 50 Mr Johnson asked the pupils in his school about their favourite subject. This pie chart shows how many pupils liked each of 5 subjects. Favourite Subject M03_14 P.E. Music Maths History Science Which graph shows the same information as the pie chart? a Number of Pupils Maths Science History P.E. Music b Number of Pupils Maths Science History P.E. Music c M Number of Pupils d Maths Science History P.E. Music 0 Maths Science History P.E. Music Number of Pupils There are no more questions on this test. Stop If you have finished Part 2 of the test before the time is over, you may go back and check your answers in Part 2. Thank you for taking the time to answer these questions carefully. Fourth Class Booklet 2 Page 37

22 = M05_01 Answer: M0316 M Three thousand tickets for a basketball game are numbered 1 to People with ticket numbers ending with 112 receive a prize. Write down all the prize-winning numbers. M05_ Prize-winning numbers: Fourth Class Booklet 5 Page 6

23 3 Ingredients Eggs 4 Flour 8 cups M05_03 Milk cup The above ingredients are from a recipe meant for 6 people. Sam wants to make this recipe for only 3 people. Complete the table below to show what Sam needs to make the recipe for 3 people. The number of eggs he needs is shown Ingredients Eggs 2 Flour cups M Milk cups Fourth Class Booklet 5 Page 7

24 5 E stands for the number of pencils Pete had. Kim gave Pete 3 more pencils. How many pencils does Pete have now? a 3 E b E + 3 c E 3 d 3 E M05_05 M M05_ Emily s Rule Emily s Rule 8 5 Emily s Rule 12 Emily used a rule to get the number in the from the number in the. What was the rule? a b c d Multiply by 1 then add 5. Multiply by 2 then add 2. Multiply by 3 then subtract 1. Multiply by 4 then subtract 4. M Fourth Class Booklet 5 Page 8

25 M05_ grams How much do the apples weigh in grams? a 200 b 202 c 2 d 220 M Fourth Class Booklet 5 Page 9

26 M05_ cm 1 cm The squares in the grid above are 1 cm by 1 cm. What is the shaded area in square centimetres? Answer: square centimetres M M Six hundred books have to be packed into boxes that hold 15 books each. Which of the following could be used to find the number of boxes needed? a b c d add 15 to 600 subtract 15 from 600 multiply 600 by 15 divide 600 by 15 M05_09 Fourth Class Booklet 5 Page

27 M05_ P Q R S In which of the following are the angles ordered by size, from least to greatest? a b c d Q, P, R, S Q, R, P, S S, P, R, Q S, R, P, Q M M0319 M05_11 11 A pattern rule says Rotate the shape What will the pattern look like? turn clockwise each time. a b c d Fourth Class Booklet 5 Page 11

28 12 Darren asked his friends to name their favourite colour. He collected the information in the table shown below. Favourite Colour Number of Friends M05_12 Red Green Blue Yellow Then Darren started to draw a graph to show the information. Complete Darren s graph Favourite Colour 8 Red Green Blue Colour M Number of Friends Yellow Fourth Class Booklet 5 Page 12

29 13 Joan had 12 apples. She ate some apples, and there were 9 left. Which number sentence describes what happened? a = C b 9 = 12 + C c 12 C = 9 d 9 C = 12 M06_01 M Which number is 0 more than 5432? a 6432 b 5532 c 5442 d 5433 M06_02 M M Circle each number which is a factor of M06_03 Fourth Class Booklet 5 Page 13

30 16 Which gives an answer closest to 9 22? a 5 20 b 5 25 c d M06_04 M Which sentence means Jack ate of a pizza? M06_05 a Jack ate of the pizza b Jack ate of the pizza c Jack ate of the pizza M d Jack ate of the pizza Fourth Class Booklet 5 Page 14

31 18 Bill is arranging squares in the following way: M06_06 Figure 1 Figure 2 Figure 3 A. Draw Figure B. How many squares would Bill need to make Figure 16? Answer: M Fourth Class Booklet 5 Page 15

32 19 This is a map of Lucy s town. The market is at the position C M06_07 6 school shop 2 market 1 A B C D E F G H I A. What is the position of the shop? The shop is at B. Lucy s house is at D5. Put an X on the map to show where Lucy s house is. M Fourth Class Booklet 5 Page 16

33 20 Draw the line of symmetry on this shape. M06_08 M M06_09 21 Figure A Figure B Here are some statements about Figure A and Figure B. Put an X to show whether each statement is true or false. Statement True False 20 A and B both have a square face. X A and B both have the same number of faces. All the angles in A are right angles. B has more edges than A. Some of the edges in B are curved. M Fourth Class Booklet 5 Page 17

34 22 Irene found the following patterns to make containers. Which pattern actually makes the container shown beside it? M06_ a b c d M Fourth Class Booklet 5 Page 18

35 23 This chart shows the types of cookies sold by the local bakery. Cookies Sold vanilla M06_11 shortbread oatmeal chocolate chip Which type of cookie did the bakery sell most? M a oatmeal b vanilla c chocolate chip d shortbread Fourth Class Booklet 5 Page 19

36 24 John was given the following table by his teacher and was asked to identify the graph that correctly displays the data. Which graph below should he choose? Name Sara Peter Pamela Chris Savings 22 Zeds 15 Zeds 17 Zeds Zeds M06_ a Savings (in Zeds) Sara Peter Pamela Chris b Savings (in Zeds) Sara Peter Pamela Chris M0411 c Savings (in Zeds) Sara Peter Pamela Chris d Savings (in Zeds) Sara Peter Pamela Chris Stop Do not start working on Part 2 until you are told to do so. If you have finished Part 1 of the test before the time is over, you may go back and check your answers. Fourth Class Booklet 5 Page 20

37 M07_01 37 Which of these fractions is larger than? a b c d M0309 M Georgia wants to send letters to 12 of her friends. Half of the letters will need 1 page each and the other half will need 2 pages each. How many pages will be needed altogether? 70 M07_02 71 Answer: Fourth Class Booklet 6 Page 28

38 39 If the pattern 3, 6, 9, 12 was continued, which of these numbers would be one of the numbers in the pattern? a 26 b 27 c 28 d 29 M07_03 M M C = 28 What number goes in the box to make this number sentence true? M07_04 Answer: = C + 6 What number goes in the box to make this number sentence true? a 17 b 11 c 7 d 5 M07_05 M Fourth Class Booklet 6 Page 29

39 M07_06 42 Figure 1 Figure 2 Figure 3 Figure 4 A sequence of four figures is shown above. A. Complete the table below for Figure 4. Figure Number of Circles B. If there were a Figure 5, how many circles would it have? 70 Answer: C. If the figures were continued, how many circles would there be in Figure? (Do not draw the figures.) M03 Answer: Fourth Class Booklet 6 Page 30

40 M07_07 43 cm If the string in the diagram above is pulled straight, which of these is closest to its length? a 5 cm b 7 cm c 8 cm d 9 cm M0343 M A train left Redville at 8:45 a.m. It arrived in Bedford 2 hours and 18 minutes later. What time did it arrive in Bedford? a b c d 11:15 a.m. 11:13 a.m. 11:03 a.m. :53 a.m. M07_08 Fourth Class Booklet 6 Page 31

41 45 In the space below, draw an angle that is greater than 90 degrees but less than 180 degrees. 70 M07_09 71 M0388 M M07_ A B C D E F G H Jamie is playing a board game. His counter is on square D5. Which of these moves would put his counter on square G7? a b c d 2 squares to the right and 3 squares up 2 squares to the left and 3 squares up 3 squares to the right and 2 squares up 3 squares to the left and 2 squares up Fourth Class Booklet 6 Page 32

42 47 In which of the following figures is the dotted line a line of symmetry? M07_11 a b c d M Colour of Pens blue red black Teacher s Pens M07_ Number of Pens The graph shows the number of blue, red, and black pens the teacher has in his desk. How many more red pens are there than black pens? M a 2 more b 4 more c 6 more d 8 more Fourth Class Booklet 6 Page 33