MTCF1604: REVISION EXERCISE (1) 2023
QUESTION 1
1.
Study the following patterns and answer the questions that follow:
1.1.1 Draw Pattern 5 & 6
1.1.2 Based on the patterns in nr. 1 above, complete the following table.
1.1.3 How many tiles will there be in Pattern 8?
1.1.4 Distinguish between numeric and geometric patterns.
1.1.5 Mention any two mathematics concepts that would serve as prior-knowledge to nr.
1 above.
1.2
Consider the following flow diagram:
1.2.1 Fill in the missing values in the flow diagram.
(4)
1.4
Consider the following table:
1
2
𝑝
13
26
𝑡
3
39
6
𝑐
10
𝑑
1.4.1 Determine the rule used to complete the table.
1.4.2 Write down the values of 𝑐 and 𝑑. Show all steps.
QUESTION 2
Write number sentences for each of the following:
2.1.1 The sum of 𝑑 and 32.
2.1.2 𝑎 increased by 503.
2.1.3 21 more than a quarter of w.
2.1.4 the product of 𝑧 and c decreased by 𝑝.
2.1.5 Five times a certain number increased by 89.
2.1.6 The square of a certain number increased by 14.
2.1.7 The quotient of 9 and a certain number which has been decreased by 3.
2.1.8 The cube of a certain number increased by the number.
2.1.9 𝑏 weeks =
months
2.1.10 𝑦 sweets cost 400c; one of the sweets will cost
2.2
Write the following numbers in expanded form:
2.2.1 22 745 209
2.2.2 734 269 001
QUESTION 3
3.1
Complete the following to show equivalent forms for each of the following
fractions:
3.1.1
3.1.2
1
4
2
6
=
=
8
3
3.1.3
3.2
1
3
=
9
Write the following as percentages. Show all the steps.
3.2.1 0,78
3.2.2
3.2.3
45
100
7
20
QUESTION 4
4.1
In the number 𝟔 𝟒 𝟒 𝟐 𝟗 𝟐 𝟓, the value of
4.1.1 the value of the digit 2 on the left is
times the value of the digit 2 on the
right.
4.1.2 the value of the digit 4 on the left is
times the value of the digit 4 on the
right.
4.1.3 the value of the digit 6 plus the value of the digit 9 equals
4.2
Write the following in numbers:
4.2.1 2 hundred thousands + 5 thousands + 8 hundreds + 2 tens + 19 ones
4.2.2 4 hundred millions + 4 millions + 4 hundred thousands + 4 hundreds + 4 tenths
+ 4 thousandths
4.3
Round the numbers according to the instruction given in brackets:
4.3.1
6 348 (to the nearest five)
4.3.2
5, 98 (to one decimal place)
MTCF1604: REVISION EXERCISE (2) 2023
QUESTION 1
1.
Study the following patterns and answer the questions that follow:
Pattern 1
Pattern 2
Pattern 3
Pattern 4
1.1.1 Draw Pattern 5
1.1.2 Based on the patterns in nr. 1 above, complete the following table.
Pattern
No of light blue tiles
No of dark blue tiles
1.1.3 How many tiles will there be in Pattern 8?
1.1.4 Describe the pattern in words. Distinguish between the pattern working with the light
blue tiles and the pattern working with the dark blue tiles.
1.1.5 Distinguish between numeric and geometric patterns.
1.1.6 Mention any two mathematics concepts that would serve as prior-knowledge to nr.
1 above.
1.2
Consider the following flow diagram:
1.2.1 Fill in the missing values in the flow diagram.
3
QUESTION 2
Write number sentences for each of the following:
2.1.1 The square of a certain number increased by 4.
2.1.2 𝑡 months =
hours
2.1.3 The quotient of 3 and a certain number which has been decreased by 1.
2.1.4 the product of 𝑥 and s decreased by 𝑑.
2.1.5 The cube of a certain number increased by the number.
2.1.6 The sum of 𝑧 and 6.
2.1.7 15 less than a quarter of 𝑤.
2.1.8 Nine times a certain number increased by 38.
2.1.9 𝑎 increased by 260.
2.1.10 𝑦 sweets cost 215c; one of the sweets will cost
2.2
Write the following numbers in expanded form:
2.2.1 67 239 001
2.2.2 109 825 100
QUESTION 3
3.1
Complete the following to show equivalent forms for each of the following
fractions:
3.1.1
3.1.2
3.1.3
3.2
3
4
= 12
35
60
= 12
1
8
7
=
Write the following as percentages. Show all the steps.
3.2.1 0,62
3.2.2
3.2.3
85
100
18
25
QUESTION 4
4.1
In the number 𝟖 𝟑 𝟖 𝟓 𝟐 𝟒 𝟎 𝟑, the value of
4.1.1 the value of the digit 3 on the left is
times the value of the digit 3 on the
right.
4.1.2 the value of the digit 8 on the left is
times the value of the digit 8 on the
right.
4.1.3 the value of the digit 5 plus the value of the digit 4 equals
4.2
Write the following in numbers:
4.2.1 7 hundred millions + 2 millions + 4 thousands + 3 hundreds + 9 tenths
+ 6 thousandths
4.2.2 3 hundred thousands + 7 thousands + 2 hundreds + 14 tens + 15 ones
4.3
Round the numbers according to the instruction given in brackets:
4.3.1
1 247 (to the nearest five)
4.3.2
8,66 (to one dec