Mathematics

3.1 Count, read and write whole numbers from 0 up to 1000

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You have a container with number cards.

Pick randomly one number card from the container and tell your friend the number in words

Activity 3.1.8

Go to the classrooms of P1, P2 and P3. Ask them the number of pupils who are in each classroom. 

Write these numbers and go back to your classroom. Read to your friend the numbers you wrote.

Activity 3.1.9

Study the pictures carefully and arrange numbers from 500 up to 1000.

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3.2 Place value of each digit of numbers from 0 up to 999

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3.3 Comparing numbers from 0 up to 999

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Activity 3.3.4

The number of sugar canes harvested by every class is given in this table:

3.4 Arranging numbers within 999 in ascending or descending order

3.4.1 Arranging numbers in ascending order (from the smallest to the largest)

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3.4.2 Arranging numbers in descending order (from the largest to the smallest)

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Do the same and arrange your number cards from the largest to the smallest number.

Activity 3.4.6

3.5 Addition of numbers whose sum does not exceed 999

3.5.1 Mental work .

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3.5.2 Addition without carrying

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3.5.3 Addition with carrying

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3.6 Word problems involving the addition of numbers with the highest sum of 999

Activity 3.6

1. During exams, pupils used 534 sheets of paper in mathematics and 365 in Kinyarwanda. Find the total number of paper used. 

2. On Saturday party we served 450 mangoes. On Sunday we used 539 mangoes. How many mangoes did we serve altogether?

3. In the morning there were 723 people in the market and 276 more people came in the afternoon. 

How many people came in the market altogether?

3.7 Subtraction of numbers within the range of 999

3.7.1 Mental work

3.7. 2 Subtraction without Borrowing

Activity 3.7.2

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Use them to do the task below:

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3.7.3 Subtraction with Borrowing

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3.8 Solve problems involving subtraction in real life situations

Activity 3.8

Study this example carefully :

Example

There were 850 reading books in the library. If 615 were taken to the classroom, How many books remained in the library?

Solution:

The library remained with: 850 - 615 = 235

The library remained with 235 books

Solve the following problems:

1. Our teacher bought 500 pens. She gave us 342 pens. How many pens did she remain with ?

2. Butera harvested 646 sacks of sweet potatoes. His sister harvested 837 sacks 

    a) Who had more sacks of sweet potatoes?

   b) Find the difference between Butera and his sister’s harvest.

3.   Last year Zigama had 954 shirts in his shop. He sold 719 of them. How many shirts remained?

4.   Our Sector bought 960 bottles of soda for a party. 

  Only 756 people attended the party and every person took one bottle of soda. How many bottles remained?

5.   The government bought 942 cars. If 749 cars are small, how many big cars did the government buy?

3.9 Multiplication of whole numbers by 6 and the multiples.

Activity 3.9.1

Form different groups of 6 counters. Count the number of groups and the number of counters for those groups.

Do it in the following way: 

1 group, 2 groups, 3 groups, 4 groups, 5 groups, 6 groups, 7 groups 8 groups, 9 groups and 10 groups. 

Write the number sentences of the following: The number of counters for 5 groups is ..., 

The number of counters for 9 groups is..., etc.

Note

The multiplication by 6 looks like the repeated addition of sixes.

Activity 3.9.2

Use the multiplication by 6 and complete the missing number

3.10 Multiply a two or three-digit number by 6

Activity 3.10 .1

Calculate:

Activity 3.10 .2

70 x 6 =

3.11 Word problems involving the multiplication of a number by 6

Activity 3.11

Example:

During Umuganda for last month every person planted 6 trees. How many trees were planted by 91 people

Solve the following word problems:

1.    In the church, 6 people sit on one bench. How many people can sit on 51 benches?

2.    Every pupil has 6 notebooks. Find the total number of notebooks for 41 pupils.

3.    A flat building in Kigali city center has 31 floors. If each floor has 6 rooms, find the total number of rooms in flat building.

4.     In the morning assemble P5 pupils stood in 6 rows. If there are 61 pupils on each row, find the total number of pupils

        who were in the assembly.

5.     Chairs for the conference hall are arranged in 6 columns. If every column has 95 chairs, find the total number of

         chairs in the conference hall.

6.     A Carpenter has 6 big trees. If he cuts 50 pieces of timber from each tree. 

        Find the total number of pieces of timber he can cut from his trees.

3.12 Division of a number by 6

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3.13 Division of a two or three-digit numbers by 6 without a Remainder

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3.14 Word problems involving the division of a number by 6

Activity 3.14

The District shared 984 books equally among 6 schools. How many books does each school get?

Solve the following problems:

1.     Share 246 notebooks equally among 6 pupils. What does each pupil get?

2.   Musoni’s cows produce 486 liters of milk in 6 days. If the daily production is the same, 

         find the number of litters they produce in one day.

3.    Share 864 balls equally among 6 schools. How many balls does each school get?

3.15 Multiplication of whole numbers by 10 or by 100

Activity 3.15.1

Note

The multiplication by 10 looks like the repeated addition of tens.

Activity 3.15.2

1) Complete the multiplication by 10 or by 100

2) Complete this multiplication table

3) Work out the multiplication

END UNIT ASSESSMENT 3

1. Write in words or in figures 

            (a) 976 : 

            (b) Eight hundred thirty five

2. Underline the correct number

3. Write the expanded number

        (a) (8 × 100) + (7 × 10) + (9 × 1) = 

        (b) 900 + 90 + 9 =

4. Write these numbers in a place value table

         (a) 896          (b) 759         (c) 837       (d) 925

5. Use <, > and = to compare numbers

6. Arrange the following numbers from the smallest to the largest.

                       793,    947,      986,     969,     678,     789

7. Arrange the following numbers from the largest to the smallest.

                               972,      984,       837,      749,     839,     949

8. Carry out the addition

        (a) 534 + 453 = (b) 738 + 241 = 

        (c) 572 + 418 = (d) 693 + 289 =

9. Carry out the subtraction

        (a) 857 – 727 = (b) 967 – 856 =

         (c) 935 – 798 = (d) 618 – 579 =

10. Complete the following multiplication or division table

11. Carry out the multiplication

12. Complete the multiplication by 10 or by 100

13. Complete the missing numbers in the following division or multiplication table

14. Divide the following numbers by 6

       (a) 966 : 6 =                              (f) 870 : 6 = 

       (b) 684 : 6 =                              (g) 774 : 6 = 

       (c) 564 : 6 =                                954 : 6 = 

       (d) 624 : 6 =                                (i) 978 : 6 = 

        (e) 864 : 6 =                               (j) 786 : 6 =

15. Word problems

        (a) Shema had 78 cows. This morning he sold 568 cows. How many cows remained?

        (b) What number can you add to 567 to get 999? 

         (c) There were 967 books in the library. If students borrowed 765 books, 

                how many books were left in the library?

        (d) What number can you subtract from 987 to get 556? 

        (e) Which number can you add to 568 to get 879?

      (f) Bumanzi Village has 235 men, 262 women and 302 children. 

           How many people are there altogether in Bumanzi village?

       (g) Share 864 mosquito nets equally among 6 Villages. How many mosquito nets does each village get?

        There are 6 classrooms of P2 in our school. If every classroom has 41 pupils, how many pupils are in P2?

        (i) Ntwari has 186 bottles of water. He wants to park these bottles equally in 6 boxes. 

              How many bottles of water will be in one box?