Exempel på uppgifter från års ämnesprov i matematik för årskurs 3. Engelsk version

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1 Exempel på uppgifter från års ämnesprov i matematik för årskurs 3 Engelsk version Exempeluppgifter i årskurs 3, 2010, 2011 och

2 Äp3Ma13 Part B 2

3 Innehåll Inledning... Fel! Bokmärket är inte definierat. Written methods... 6 Mental arithmetic, multiplication and division... 8 Mental arithmetic, addition and subtraction... 8 Odd numbers and positioning system... 9 Similarities, number line and number sequences Division of numbers Area, numbers as fractions and estimating of length Time Geometrical objects Patterns Problem solving The four operations Statistics Äp3Ma13 Part B 3

4 Äp3Ma13 Part B 4

5 Inledning Detta material innehåller exempel på uppgifter, som inte längre omfattas av sekretess, från ämnesprovet i årskurs 3, Ett syfte med materialet kan vara att elever i årskurs 3 får bekanta sig med hur uppgifter till ett nationellt prov kan se ut. Ett annat kan vara att föräldrar får en inblick i nationella prov för årskurs 3. Syftet med samtliga nationella prov är i huvudsak att stödja en likvärdig och rättvis bedömning och betygssättning ge underlag för en analys av i vilken utsträckning kunskapskraven uppfylls på skolnivå, på huvudmannanivå och på nationell nivå. De nationella proven kan också bidra till att konkretisera kurs- och ämnesplanerna en ökad måluppfyllelse för eleverna. I de lägre årskurserna kan proven även utgöra ett underlag för läraren att stödja eleverna i att utvecklas vidare kunskapsmässigt. Ett viktigt inslag för att allsidigt och kvalitativt bedöma elevernas visade kunskaper och kunskapsutveckling i matematik är att analysera hur eleverna arbetar med och behärskar matematik i olika uppgifter och situationer. Har eleven försökt lösa uppgiften? På vilket sätt har eleven arbetat med uppgiften? Vad har eleven förstått och vilka begrepp har eleven kunskaper om och kan använda? I vilken utsträckning har eleven klarat de numeriska beräkningarna? I vilken utsträckning har eleven analyserat, värderat och dragit slutsatser av resultat? Det är väsentligt att eleverna ges möjlighet att visa sina kunskaper på olika sätt och det måste finnas en möjlighet att studera hur eleven resonerar både skriftligt och muntligt. Det är viktigt att eleven får möjlighet att reflektera över sin och andras strategier, förklara och argumentera för sina egna lösningsmetoder och lyssna på andras. Äp3Ma13 Part B 5

6 Written methods Write down the method you used to work this out and write your answer = Answer: = Answer: Äp3Ma13 Part B 6

7 Write down the method you used to work this out and write your answer = Answer: = Answer: Äp3Ma13 Part B 7

8 Mental arithmetic, multiplication and division 5. a) 3 3 = b) 2 8 = 6. b) 12 2 = c) 15 5 = Mental arithmetic, addition and subtraction 7. a) = b) = a) = b) = 16 7 Äp3Ma13 Part B 8

9 Odd numbers and positioning system 9. Four of the numbers are odd. Circle them Here are three cards. Nova made this number using these cards. Write a number that is smaller and another number that is greater than Nova s number. Use the same cards as Nova used smaller Nova s number greater Äp3Ma13 Part B 9

10 11. Write the number that is a) three units less than 35 b) two hundreds less than 765 c) one ten less than Write the number that is a) four hundreds greater than 513 b) two units greater than 14 c) six tens greater than 36 Äp3Ma13 Part B 10

11 13. In Egypt they wrote numbers using other symbols. Here is what the numbers 324, 212 and 403 could look like a) How much is one of each symbol worth? = = = Write the numbers 451 and 510 using Egyptian symbols. b) c) Äp3Ma13 Part B 11

12 Similarities, number line and number sequences 14. Write the missing numbers in the spaces. a) + 3 = 17 b) = + 4 c) 14 = + 6 d) 18 = Write the missing numbers in the spaces. a) 6 = 10 b) 8 3 = 9 c) 16 = Mark each number with an X on the number line. Write the number under each X. a) 30 b) 65 c) 83 Äp3Ma13 Part B 12

13 17. What number should be where the cross is? Write the number What number should be where the cross is? Write the number The numbers are arranged in a sequence. Continue the sequence. a) b) c) Äp3Ma13 Part B 13

14 Division of numbers 20. Nova s mother has 678 Crowns. a) What bills and coins might she have and how many of each? b) Give another suggestion. Äp3Ma13 Part B 14

15 Write the numbers in order of size. 21. Start with the smallest number. a) b) Now start with the biggest number Äp3Ma13 Part B 15

16 Area, numbers as fractions and estimating of length 23. Nova and Troj want to make a rug to put on the floor in their tree house. They have 3 pieces of rug to use. They try different ways of placing these pieces. Nova s way Troj s way a) Which statement agrees with the figures? Mark with an X. Nova s rug covers the largest surface on the floor, that is it has the largest area. c Troj s rug covers the largest surface on the floor, that is it has the largest area. c Both rugs cover the same surface on the floor, that is they have the same area. c b) Explain how you know this. Äp3Ma13 Part B 16

17 24. This is Nova and Troj s flag. a) What fraction of the flag is blue? b) What fraction of the flag is red? 25. Troj is 120 cm tall. About how high is the flagpole? Show your solution and write the answer. Answer: Äp3Ma13 Part B 17

18 Time 26. What is the time when Nova and Troj start school? Answer: 27. The time is What is the time half an hour later? Answer: 28. Troj starts eating lunch When he has finished at o clock. the time is For how many minutes did he eat lunch? Answer: Äp3Ma13 Part B 18

19 29. Nova went to sleep She woke up at o clock. at o clock. For how many hours did she sleep? Answer: 30. Write the unit that fits in. Seconds (sec), minutes (min) or hours (h). a) It takes about 20 to eat lunch at school. b) It takes about 2 to brush your teeth. c) It takes about 2 to watch a film on TV. d) It takes about 1 to say the word Hello! e) It takes about 10 to sleep at night. Äp3Ma13 Part B 19

20 Geometrical objects 31. Write the geometric name of the object in the box. a) b) c) d) e) f) Äp3Ma13 Part B 20

21 32. Describe a circle. 33. Describe a square. 34. What are the differences between these figures? Äp3Ma13 Part B 21

22 35. What geometric name does the object have? a) b) sphere cuboid cube pyramid c) d) Äp3Ma13 Part B 22

23 Patterns 36. Draw how the pattern continues. a) b) 37. The figures get bigger and bigger. Draw the fourth and fifth figures Äp3Ma13 Part B 23

24 38. Nova sees an image in her telescope. She has started to draw this image. Complete the drawing so that the pattern will be symmetrical 39. Troj has started drawing another image. Complete this picture that Troy has started so that the pattern will be symmetrical. Äp3Ma13 Part B 24

25 Problem solving 40. Three films cost 150 kronor altogether. How much does each film cost, if all films cost the same amount? Show your solution and write the answer. Answer: 41. Troj buys three space pencils. He pays with a 100 kr bill. He gets back 10 kr in change. How much does each pencil cost? Show your solution and write the answer. Answer: Äp3Ma13 Part B 25

26 42. Troj and Nova have 24 kr each. I will buy twelve Mars balls for my 24 kr. Planet bouncing Saturn... 12:- Jupiter... 6:- Earth... 3:- Mars... 2:- Make three other suggestions as to what balls and how many of each you might buy for exactly 24 kr. Suggestion 1 Suggestion 2 Suggestion 3 Äp3Ma13 Part B 26

27 43. Space creatures have either one eye or three eyes. Fifteen eyes are staring at Nova and Troj. How many space creatures might that be? Give three different suggestions. Suggestion 1 Suggestion 2 Suggestion 3 Äp3Ma13 Part B 27

28 The four operations 44. Draw a line connecting each picture with the expression that corresponds to it. One picture is left over a) Circle the expression that gives the greatest answer. Try to do this without calculations b) Circle the expression that gives the greatest answer. Try to do this without calculations Äp3Ma13 Part B 28

29 46. Write a story problem that suits 17 5 = Write a story problem that suits 3 6 = 18 Äp3Ma13 Part B 29

30 Statistics Look at the picture showing cuddly animals! 48. a) How many of each kind are there? Complete the table. Cuddly animals Number Lamb Dolphin Rat Parrot Ladybird b) Make a bar chart using the table. Number Lamb Dolphin Rat Parrot Ladybird Cuddly animals Äp3Ma13 Part B 30

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