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GET DIRECTORATE
GRADE 5 MATHEMATICS
CONSOLIDATION MODULE: MULTIPLICATION
& DIVISION
Developed by Ms J van der Merwe
Metro South Education District
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Multiplication and Division
INSTRUCTIONS:
1. Do all the exercises in your classwork book showing all workings.
2. Number according to the questions per section.
3. First attempt to answer all the questions before you check answers at the end of
each section.
4. Apply your knowledge to answer the questions.
SECTION A: Routine Procedures:
Calculate the following:
Items
1. Write this number sentence in a simpler way.
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 45
3. Write the next four numbers in each sequence:
(a) 25 50 75 100 125 . . .
(b) 15 30 45 60 75 . . .
(c) 8 16 24 32 40 . . .
(d) 9 18 27 36 45 . . .
(e) 7 14 21 28 35 . . .
Items
2. Write this number sentence in a simpler way
20 – 2 – 2 – 2 – 2 – 2 – 2 – 2 – 2 – 2 – 2 = 0
4. Draw lines on the figure to divide it into 4 equal parts and write a number sentence
that it represents.
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5. Write a multiplication sum using the Distributive method for the array below.
6. Write a division sum for the array below. Show your clever counting
7. Refresh your multiplication memory:
a. 30 x 8 =
b. 50 x 6 =
c. 70 x 9 =
d. 90 x 4 =
9. In each case, indicate whether the statement is true or false.
a. Ten hundreds are one thousand.
b. Hundred hundreds are ten thousand.
c. Hundred tens are one thousand.
d. Two hundred fifties are ten thousand.
11. How many cubes are used to build the tower below?
8. Refresh your division memory:
a. 240 ÷ 8 =
b. 300 ÷ 50 =
c. 630 ÷ 9 =
d. 360 ÷ 90 =
10. a. How many people are ten groups of 10 people each?
b. How many people are ten groups of 1 000 people each?
c. How many people are ten groups of 30 people each?
d. How many people are ten groups of 700 people each?
12. a. Which number divided by 10 is 150.
b. Which number divided by 12 is twelve.
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13. To multiply by 2—think double.
a. 40 600 x 2 =
b. 35 000 x 2 =
c. 26 500 x 2 =
14. To multiply by 5—think multiply by 10 and half. Show your strategy
a. 2 400 x 5 =
b. 4 600 x 5 =
c. 3 500 x 5 =
15. Make the sides equal.
a. 150 × ____ = 1 650
b. ____ × 11 = 1 650
c. 124 × 245 = 245 × _____
d. 467 × 654 × 541 = 541 × ____ × 654
16. Use “multiplying by 1 000” and “halving” strategies to calculate:
Show your strategy
a. 8 × 500 = _______
b. 500 × 11 = _______
c. 500 × 18 = _______
d. 26 × 500 = _______
17. Use “multiplying by 20” and “compensating” strategies to calculate:
Show your strategy
a. 3 × 21 = ______
b. 22 × 4 = ______
c. 19 × 5 = ______
d. 22 × 6 = ______
e. 19 × 9 = ______
18. Calculate these distances: When you see this sign
19. Calculate
a. 5hours 45 minutes ÷ 5 periods
b. 1hr 24 min x 7 days
20. A butchery has the following notice:
Sausage R13,99/kg…How much would I pay for:
a. 2kg
b. 10kg
c. 15kg
a. After 7h =
b. After 10h =
c. After 24h =
d. After 36h =
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A. MULTIPLICATION AND DIVISION CALCULATIONS
1. Calculate
a. Two hundred and thirty multiplied by seventy-nine
b. Thirteen times eight hundred and sixty-four
3. Complete the following calculation:
347 x 8 = 
347 = 300 + 40 + 7
347 x 8 = 300 x 8 + 40 x 8 +  x 8
=
 + 320 + 
= 2 000 +  + 300 + 20 +  + 6
= 2 776
2. a. Write a multiplication sum for this addition sum
3+4+3+4+3+4+3+4+3+4+3+4
b. Write a division sum for this subtraction sum
39 – 13 – 13 – 13
4. Complete the Box method of calculation:
259 x 23 = 
200
4 000

4 600
+
50

150
1 150
+

180
27
207
x
20  5 180
3 + 777

5. Calculate using the Box method:
457 x 34
6. Calculate using the Box method:
963 x 89
7. If …
8. Redo the following clueboard method by filling in the missing steps:
496 ÷ 12 = 
a. 2 x 4 = 8…then 4 x 4 = 16…and 8 x 4 = 
b. 2 x 40 = 80…then 4 x 40 = 160 …and 8 x 40 = 
c. 20 x 40 = 800…then 40 x 40 = 1 600…and 80 x 40 = 
Clues
Subtraction
40 x 12 = 480  496 – 480 = 
1 x 12 =   16 – 12 = 4 remainder
496 ÷ 12 = 40 + 1 + remainder 4
= 41 remainder 4
9. Calculate using the Clueboard method:
793 ÷ 23 = 
Clueboard
1 x 12 = 12
2 x 12 = 24
3 x 12 =36
4 x 12 =48
10 x 12 = 
20 x 12 = 240
30 x 12 = 
40 x12 = 480
10. Calculate using the Clueboard method:
984 ÷ 42 = 
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SECTION B: ROUTINE PROBLEM SOLVING
Items
Items
1. An aeroplane flies at an average speed of 475 kilometres per hour. How far does
it fly in 19 hours?
2. Greta sells pencils in boxes for R24 for 12 pencils or in bags for R7 for 3 pencils.
Calculate the price per pencil for a box and a bag of pencils and say which is
cheaper to buy.
4. I have R3 120 to spend and I want to buy 18 video games at R150
each. Do I have enough money to buy all 18?
3. Sarah has R200 to spend. If books cost R50 each, how many can she buy?
5. Ryan collected 60 football magazines in five weeks. If he collected the same
amount each week, how many did he collect each week
6. There are 480 bags of apples, with sixteen apples in each.
How many apples are there altogether?
7. A cross country athlete looked on his stopwatch and saw at the
end of his race that he that he run the race in 273 minutes. How
many hours did he take?
8. There were 1 358 people at a concert. Half of them
paid R65,00 and the rest paid R75,00. How much money
was collected? Round off to the nearest hundred.
9. There are 137 eggs packed in cartons. Each carton
contains 12 eggs.
(a) How many cartons are needed?
(b) How many can be filled?
(c) How many eggs are in the carton that is not filled?
10. A businessman shares R32 200. He gives his sister half and half of the rest to his
brother, how much money does he have left?
11. Here is a drawing of Thandi`s mat beaded mat which she sell at the craft market. 12. In a design pattern like this, there are 720 rings arranged in rows of 24 rings each.
The beads are arranged as follows:
How many rows are there?
1 column of blue beads; 2 columns of yellow beads; 3 columns of green beads; 4 columns of red beads; 5 columns
of pink beads; 6 columns of brown beads
Now take another look at Thandi`s mat. In what ratio is each of the following?
a) the number of yellow beads and the number of pink beads
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b)
c)
d)
e)
the number of pink beads and the number of yellow beads
the number of red beads and the number of brown beads
the number of blue beads and the number of red beads
the number of red beads and the number of blue beads
13. A box contains 144 apples and a school buys 12 boxes of apples. There are 535
14. A sheep farmer shears 250 sheep per day. How many sheep will he sheer in two
learners at the school. The apples are shared equally amongst the learners. How full weeks?
many apples will each learner get?
15. Farmer Smith has 600 cows. 100 cows fit into each field.
16. Lindi orders 160 flowers for table decorations. She wants to put 11 flowers in
a) How many fields does Farmer Smith need?
each vase. How many vases can she fill?
b) Half of the cows have 2 calves each, how many cows and calves are there
altogether?
c) How many fields does Farmer Smith need now?
17. A mini-bus taxi owner purchased a new mini-bus and has been making monthly 18. There were two hundred and twenty-four marbles hidden at
school. Sixteen children went to pick them up. The children
payments to a total of R64 394. If he has been doing so over the past 11 months.
collected the same number of marbles each. How many
What is his monthly instalment on the new mini-bus?
marbles did each child collect?
19. Alice had counted 487 legs belonging to horses on a
field, what was wrong with this? How many horses were
on the field if Alice was nearly right?
20. Lebogang walks about 42m per minute.
(a) How far can he walk in 26 minutes?
(b) How far could he walk if he walked from 10.17
am. till 11.04 am.?
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SECTION C: Multiple Choice Items
WRITE THE CORRECT LETTER NEXT TO THE NUMBER.
1. Eighteen aliens landed at the North Pole. Each alien had 3 laser cannons. How
many laser canons were there altogether?
2. The factors of 36 are the numbers that when muliplied gives you the product,
e.g. 3 x 12 = 36 therefore, 3 and 12 are factors. Which are all the factors of 36?
A. 11 laser cannons
B. 24 laser cannons
C. 5 laser cannons
D. 38 laser cannons
A. 2, 3, 4, 6, 8, 9, 12, 14, 36
B. 1, 2, 3, 4, 6, 9, 12, 18, 36
C. 1, 2, 3, 4, 12, 18, 36
D. 1, 2, 3, 4, 6, 9, 12, 24
3. If 180 apples are arranged into equal rows of 6 apples, how many rows will
there be?
4. A rubber band is 16 cm long. How long will the rubber band be when it is
stretched to be 3 times as long?
A. 186 rows
B. 30 rows
C. 3 rows
D. 36 rows
A.
B.
C.
D.
48cm
36cm
19cm
64cm
5. Catherine had learnt her times table so well. She has practised a total of 525 times
in 25 days. If she does the same amount daily, how many times had she practised
each day?
A. 25 time
B. 5 times
C. 10 time
D. 21 times
6. A cricketer scored a average rate of 66 runs per hour. If he batted for 90
minutes, did he score more than 100 runs?
7. Shanice saved R342 in twelve months. How much had she saved each month?
8. All the learners of a primary school are going on a school outing.
They are travelling on five buses:
There are 76 learners on Bus A.
There are 68 learners each on Buses B and C.
There are 59 learners on Bus D.
There are 74 learners on Bus E.
When they travel back to school, the buses will all carry an equal number of
learners. How many learners will there be on each bus?
A. 55 learners
B. 56 learners
C. 96 learners
A. R28
B. R28,50
C. R122
D. R358,00
A. Yes, he scored more than 100 runs
B. No, he scored less than 100 runs
C. He scored exactly 100 runs
D. He scored half of the 100 runs
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9. Mr Cogan and Miss Vaghela are getting married. They have invited 39 people
to their wedding. Each table sits 5 people. How many tables will they need?
D. 69 learners
10. A certain truck can carry 43 bags of cement. How many truckloads must be
delivered if 500 bags of cement are needed at a construction site?
A. 8 tables
B. 7 tables
C. 6 tables
D. 9 tables
A. 11 truckloads
B. 12 truckloads
C. 13 truckloads
D. 14 truckloads
11. A car travelled 288 kilometres in 12 hours, how far did it travel in 1 hour?
A. 24km
B. 159km
C. 486km
D. 81km
13. 1 200 kg sugar is packed into 400 equal weight packets. How much does each
packet weigh?
A. 30kg
B. 300g
C. 8kg
D. 3kg
15. Transport for 832 learners must be arranged. Two possibilities are
available:
Option A:
Small buses that can carry 23 passengers each, at R210 for each bus.
Option B:
Large buses that can carry 92 passengers each, at R828 for each bus.
Which option is cheaper?
A. Option A
B. Option B
C. Both options are the same
D. These no other option
12. Notebooks come in packs of 8. A school needs 1 048, one for each child. How
many packs will the school need to buy?
A.
B.
C.
D.
106 packs
131 packs
8 384 packs
1 056 packs
14. What is the answer to the number sentence? (Remember to do the
multiplications before doing the addition)
23 × 20 + 23 × 5
A. 2 415
B. 575
C. 4 300
D. 71
16. A baker makes 14 cakes each day. If he starts baking 14 cakes on Monday, by
what day of the week will he have baked 154 cakes altogether?
A.
B.
C.
D.
Sunday
Saturday
Friday
Thursday
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17. The grade fives are going up Table Mountain. We need to rent taxis to get to
our destination. There are 115 pupils and 12 adults going. Each taxi can only hold
12 people. How many taxis does the school need to hire?
18. Each car in the parking lot has 4 wheels. There are 138 cars in the parking lot.
What number sentence can be used to find the total number of wheels in the
parking lot?
A. 23 taxis
B. 13 taxis
C. 11 taxis
D. 12 taxis
A.
B.
C.
D.
19. In a block of flats there are 96 families. Half of the families have 4 members in
each family and the other half have 6 members. How many people live in the
block?
A. 960 people
B. 480 people
C. 384 people
D. 600 people
138 + 4
138 - 4
138 x 4
138 ÷ 4
20. Ali runs 2 km in 8 minutes. Michael is twice as fast as Ali. How long does
Michael take to run 10 km?
A. 20min
B. 60min
C. 40min
D. 80min
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SECTIONA:
MEMORANDUM
Items
1. 9 x 5 = 45
Items
2. 20 - 20 = 0
3.
(a)
(b)
(c)
(d)
(e)
4. 32 ÷ 4 = 8
150; 175; 200; 225
90; 105; 120; 135
48; 56; 64; 72
54; 63; 72;81
42; 49; 56; 63
5. (3 x 5) + (3 x 5) + (3 x 5) = 15 + 15 + 15
= 45
6. 50 ÷ 10 = 5 OR 50 ÷ 5 = 10
7. a. 30 x 8 = 240
b. 50 x 6 = 300
c. 70 x 9 = 630
d. 90 x 4 = 360
9. a. true
b. true
c. true
d. true
11. 4 units x 3 units x 6 units = 72 units
8. a. 240 ÷ 8 = 30
b. 300 ÷ 50 = 6
c. 630 ÷ 9 = 70
d. 360 ÷ 90 = 4
10.a. 100 people
b. 10 000 people
c. 300 people
d. 7 000 people
12. a. 1 500
b. 144
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13. a. 40 600 x 2 = 81 000
b. 35 000 x 2 = 70 000
c. 26 500 x 2 = 53 000
14. a. 2 400 x 5 = 24 000 ÷ 2 = 12 000
b. 4 600 x 5 = 46 000 ÷ 2 = 23 000
c. 3 500 x 5 = 35 000 ÷ 2 = 17 500
15. Make the sides equal.
e. 150 × _11_ = 1 650
f. _150_ × 11 = 1 650
g. 124 × 245 = 245 × _124_
h. 467 × 654 × 541 = 541 × _467_ × 654
17.
f. 3 × 21 = (3 x 20) + (3 x 1) = 63
g. 22 × 4 = (20 x 4) + (2 x 4) = 88
h. 19 × 5 = (20 x 5) – (1 x 5) = 95
i. 22 × 6 = (20 x 6) + (2 x 6) = 132
j. 19 × 9 = (20 x 9) – (1 x 9) = 171
16. a. 8 × 500 = 8 000 ÷ 2 = 4 000
b. 500 × 11 = 11 000 ÷ 2 = 5 500
c. 500 × 18 = 18 000 ÷ 2 = 9 000
d. 26 × 500 = 26 000 ÷ 2 = 13 000
19. a. 1 hour 9 mins
b. 9 hours 48 mins
20. a. R27,98
b. R139,90
c. R209,85
18. a. After 7h = 700km
b. After 10h = 1 000km
c. After 24h = 2 400km
d. After 36h = 3 600km
MULTIPLICATION AND DIVISION CALCULATIONS
1.
a. 18 170
b. 11 232
3. Complete the following calculation:
347 x 8 = 
347 = 300 + 40 + 7
347 x 8 = 300 x 8 + 40 x 8 + 7 x 8
= 2 400 + 320 + 56
= 2 000 + 400 + 300 + 20 + 50 + 6
= 2 776
2.
a. 6 x 7 = 42 OR (3 x 6) + (4 x 6) = 42 OR 6 x (3+ 4) = 42
b. 39 ÷ 3 = 13
4. Complete the Box method of calculation:
259 x 23 = 5 957
200
4 000
600
4 600
+
50
1 000
150
1 150
+
9
180
27
207
x
20  5 180
3 + 777
5 957
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5. Calculate using the Box method:
457 x 34 = 15 538
400
12 000
1 600
13 600
50
1 500
200
1 700
7
210
28
238
6. Calculate using the Box method:
963 x 89 = 85 707
X
30 
4+
13 710
1 828
15 538
7. If …
d. 2 x 4 = 8…then 4 x 4 = 16…and 8 x 4 = 32
e. 2 x 40 = 80…then 4 x 40 = 160 …and 8 x 40 = 320
f. 20 x 40 = 800…then 40 x 40 = 1 600…and 80 x 40 = 3 200
900
72 000
8 100
80 100
60
4 800
540
5 340
3
240
27
267
X
80 
9 
Clues
Subtraction
30 x 23 = 690  793 – 690 = 103
3 x 23 = 69  103 - 69 = 34
1 x 23 = 23  34 - 23 = 11
793 ÷ 23 = 30 + 3 + 1 remainder 11
= 34 remainder 11
77 040
8 667
85 707
8. Redo the following clueboard method by filling in the missing steps:
496 ÷ 12 = 41 remainder 4
Clues
Subtraction
40 x 12 = 480  496 – 480 = 16
1 x 12 = 12  16 – 12 = 4 remainder
496 ÷ 12 = 40 + 1 + remainder 4
= 41 remainder 4
9. Calculate using the Clueboard method:
793 ÷ 23 = 34 remainder 11
+
Clueboard
1 x 12 = 12
2 x 12 = 24
3 x 12 =36
4 x 12 =48
10 x 12 = 120
20 x 12 = 240
30 x 12 = 360
40 x12 = 480
10. Calculate using the Clueboard method:
984 ÷ 42 = 23 remainder 18
Clueboard
1 x 23 = 23
2 x 23 = 46
3 x 23 = 69
10 x 23 = 230
20 x 23 = 460
30 x 23 = 690
Clues
Subtraction
20 x 42 = 840  984 – 840 = 144
2 x 42 = 84  144 – 84 = 60
1 x 42 = 42  60 – 42 = 18
Clueboard
1 x 42 = 42
2 x 42 = 84
10 x 42 = 420
20 x 42 = 840
984 ÷ 42 = 20 + 2 + 1 + remainder 18
= 23 remainder 18
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SECTION B: ROUTINE PROBLEM SOLVING
Items
1. 475 x 19 = 9 025 Km
3. R200 ÷ 50 = 4 books she can buy
5. 60 ÷ 5 = 12 collected each week
7. 273 ÷ 60 = 4h / 4h 55min
9. (a) 137 ÷ 12 = 12 cartons
(b) 11 cartons
(c) 7 eggs
11. a)
b)
c)
d)
e)
14 to 35
35 to 14
28 to 42
7 to 28
28 to 7
Items
2. R24 for 12 pencils
and
R7 for 3 pencils
R7 x 4 for 12 pencils
Box of 12 pencils = R24 Bag of 12 pencils = R28
Box of 12 pencils for R24 is cheaper
4. R150 x 18 = R2 700
Yes, you have enough money to buy all 18
6. 480 x 16 = 7 680 apples altogether
8. 1 358 ÷ 2 = 679
(R65,00 x 679) + (R75,00 x 679)
R44 135
+ R50 925
R95 060 ~ R90 100
10. R32 200 ÷ 2 = R16 100
R16 100 give to his sister
R16 100 ÷ 2 = R8 050
R8 050 give to his brother
R8 050 he has left
12. 720 ÷ 24 = 30 rows
13. 144 x 12 = 1 728
1 728 ÷ 535 = 3 notebooks
14. 250 x 14 = 3 500 sheep
15. a) 6 fields needed
b) 1 200 cows and calves altogether
c) 12 field needed
17. R64 394 ÷ 11 = R5 854 monthly instalments
16. 160 ÷ 11 = 1 760 vases
19. 487 is wrong because it is not a multiple of 4 (horses have 4 legs)
Alice should have counted 488 because 488 is a multiple of 4.
20.(a) 26 x 46 = 1 092m in 26 minutes
(b) 47 x 42 = 1 974m he could walk from 10:17a.m. to 11:04a.m.
18. 224 ÷ 16 = 14 marbles
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SECTION C: Multiple Choice Items.
1. B. 54 laser cannons
2. B. 1, 2, 3, 4, 6, 9, 12, 18, 36
3. B.
4. A. 48cm
30
5. D. 21 times
6. B. No, he scored less than 100 runs
7. B. R28,50
8. D. 69 learners
9. A. 8 tables
10. B. 12 truckloads
11. A. 24km
12. B. 131 packs
13. D. 3kg
14. B. 575
15. A. Option A
16. D. Thursday
17. C. 11 taxis
18. D. 138 ÷ 4
19. B. 480 people
20. A. 20min
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