OPM1501
EXAM PACK
, lOMoARcPSD|18222662
CONFIDENTIAL
OPM1501
Question 1 JAN/FEB 2024
1.1 Find the missing number in the following number sequences:
a) 3, 18, 108, …, 3 888 {1}
b) 5, 30, 180, …, 6 480 {1}
c) ½, 2, …, 32, 128 {1}
d) - 40, - 160, - 640 …, … {2}
(5)
1.2 Use the method of compensation to show how you can make the subtraction of 876 – 59
easier. (2)
1.3 Draw a factor tree diagram to show the difference between the prime product and prime
factor of 60. (3)
3 5
1.4 Use the area model to teach the multiplication of 7 × 9 . (3)
[13]
Question 2
2.1 Complete the following function machines so that the inputs give the correct outputs:
a) 8 ….. 448 {2}
b) 270 − 530 {2}
− …..
c) 105 21 {2}
….
..
d) 90 …. 90 {3}
..
(9)
2.2 Fill in the table below to show how many matchsticks you would need for each diagram
number: (5)
Diagram number 1 2 3 4 5 6 10 25
Matchsticks 7 10 79
a) Write the rule for this pattern. {2}
b) What formula could you use for the number of matchsticks? {2}
(4)
[18]
, lOMoARcPSD|18222662
OPM1501
JAN/FEB 2024
Question 3
3.1 Hlamulo took part in a weightlifting competition. On his first lift, he lifted 28 kg. On his
second lift, he lifted 20 kg. On his third lift, he lifted 12 kg. On his fourth lift, he lifted 4 kg.
a) Explain the rule for this sequence. {2}
b) What can you say about Hlamulo’s lifting? {3}
(5)
3.2 Sphamandla read a book for his focus group. On the first day, he read up to page 16. On
the second day, he read up to page 32. On the third day, he read up to page 48.
a) Explain the rule for this sequence. {2}
b) What page will he be up to on the fourth day? {2}
c) How many pages will he have read on the eleventh day? {2}
(6)
[11]
Question 4
4.1 Complete these number lines by filling in the missing numbers represented by the boxes.
a)
b)
(7)
4.2 State whether each of the following statements is true or false, after the given
transformation has been performed:
a) Rotation 180° anticlockwise about the origin gives H’(3;- 4) {2}
5
, lOMoARcPSD|18222662
OPM1501
JAN/FEB 2024
b) Rotation 90° about the origin gives D’(2; -2)
{2}
c) Rotation 180° clockwise about the origin gives C’(2; -1)
{2}
d) Rotation 270° about the origin gives the coordinates V’(3; 2), E’(-2; 1), G’(1;3) {2}
6
EXAM PACK
, lOMoARcPSD|18222662
CONFIDENTIAL
OPM1501
Question 1 JAN/FEB 2024
1.1 Find the missing number in the following number sequences:
a) 3, 18, 108, …, 3 888 {1}
b) 5, 30, 180, …, 6 480 {1}
c) ½, 2, …, 32, 128 {1}
d) - 40, - 160, - 640 …, … {2}
(5)
1.2 Use the method of compensation to show how you can make the subtraction of 876 – 59
easier. (2)
1.3 Draw a factor tree diagram to show the difference between the prime product and prime
factor of 60. (3)
3 5
1.4 Use the area model to teach the multiplication of 7 × 9 . (3)
[13]
Question 2
2.1 Complete the following function machines so that the inputs give the correct outputs:
a) 8 ….. 448 {2}
b) 270 − 530 {2}
− …..
c) 105 21 {2}
….
..
d) 90 …. 90 {3}
..
(9)
2.2 Fill in the table below to show how many matchsticks you would need for each diagram
number: (5)
Diagram number 1 2 3 4 5 6 10 25
Matchsticks 7 10 79
a) Write the rule for this pattern. {2}
b) What formula could you use for the number of matchsticks? {2}
(4)
[18]
, lOMoARcPSD|18222662
OPM1501
JAN/FEB 2024
Question 3
3.1 Hlamulo took part in a weightlifting competition. On his first lift, he lifted 28 kg. On his
second lift, he lifted 20 kg. On his third lift, he lifted 12 kg. On his fourth lift, he lifted 4 kg.
a) Explain the rule for this sequence. {2}
b) What can you say about Hlamulo’s lifting? {3}
(5)
3.2 Sphamandla read a book for his focus group. On the first day, he read up to page 16. On
the second day, he read up to page 32. On the third day, he read up to page 48.
a) Explain the rule for this sequence. {2}
b) What page will he be up to on the fourth day? {2}
c) How many pages will he have read on the eleventh day? {2}
(6)
[11]
Question 4
4.1 Complete these number lines by filling in the missing numbers represented by the boxes.
a)
b)
(7)
4.2 State whether each of the following statements is true or false, after the given
transformation has been performed:
a) Rotation 180° anticlockwise about the origin gives H’(3;- 4) {2}
5
, lOMoARcPSD|18222662
OPM1501
JAN/FEB 2024
b) Rotation 90° about the origin gives D’(2; -2)
{2}
c) Rotation 180° clockwise about the origin gives C’(2; -1)
{2}
d) Rotation 270° about the origin gives the coordinates V’(3; 2), E’(-2; 1), G’(1;3) {2}
6
