About this preparation
Math diagnostic test, Year 5: Multi-Step Word Problems. 10 questions with answers and explanations. Topics: Addition, Subtraction, Multiplication, Division, Multi-step word problems. Duration: 55 min.
Diagnostic tasks
Below is the full list of tasks with correct answers and explanations. In a lesson the tutor can hide the answers and reveal them after the student tries.
1
A class collected 248 stickers on Monday and 176 stickers on Tuesday. They gave away 95 stickers. How many stickers do they have left?
329
239
421
143
Explanation: First add 248 and 176 to get 424, then subtract 95. The result is 329.
2
There are 6 boxes with 8 pencils in each box. Then 14 more pencils are added. How many pencils are there in total?
62
48
70
52
Explanation: Multiply 6 by 8 to get 48, then add 14. The total is 62.
3
A library has 360 books. It buys 4 new shelves with 25 books on each shelf. Then 40 books are borrowed. How many books are in the library now?
420
500
420
320
Explanation: First find 4 × 25 = 100 books. Add to 360 to get 460, then subtract 40. The answer is 420.
4
A farmer picked 7 baskets of apples with 12 apples in each basket. He sold 18 apples and then packed the rest equally into 6 bags. How many apples were in each bag?
10
11
12
14
Explanation: 7 × 12 = 84 apples. After selling 18, there are 66 left. 66 ÷ 6 = 11 apples in each bag.
5
A shop had 125 notebooks. It sold 3 packs of 20 notebooks and then received 47 more notebooks. How many notebooks does the shop have now?
112
112
172
87
Explanation: 3 × 20 = 60 notebooks sold. 125 - 60 = 65. Then 65 + 47 = 112.
6
A school prepared 9 tables with 6 chairs at each table. Later, 15 more chairs were brought in and 12 chairs were taken away. How many chairs are there now?
57
54
60
45
Explanation: 9 × 6 = 54 chairs. Add 15 to get 69, then subtract 12. The answer is 57.
7
A coach has 5 teams. Each team has 14 players. If 9 players are absent, how many players are present?
61
70
79
56
Explanation: 5 × 14 = 70 players in total. Subtract 9 absent players: 70 - 9 = 61.
8
A baker made 8 trays of muffins with 15 muffins on each tray. She sold 26 muffins and then baked 18 more. How many muffins does she have now?
112
98
120
102
Explanation: 8 × 15 = 120 muffins. 120 - 26 = 94. Then 94 + 18 = 112.
9
A game store had 300 cards. It sold 4 boxes with 35 cards in each box and then received 2 boxes with 28 cards in each box. How many cards are there now?
252
272
328
300
Explanation: 4 × 35 = 140 cards sold. 300 - 140 = 160. Then 2 × 28 = 56, and 160 + 56 = 216. The correct answer is 216.
10
A student read 24 pages on Monday, 18 pages on Tuesday, and 3 equal sections of 12 pages on Wednesday. How many pages did the student read in all?
78
60
72
84
Explanation: 3 × 12 = 36 pages on Wednesday. Then 24 + 18 + 36 = 78 pages in all.
