Download Form 3 Mathematics Test Test 2: Pattern and sequences Total: 50

Form 3 Mathematics Test
Test 2: Pattern and sequences
Total: 50 marks
Name: ________________________________________ Date: ______________________________
Section A
Write down the correct letter for each of the following questions.
1.
2.
What is the next term in the sequence if it continues in the same way?
2; 5; 8; ...
A
11
B
10
C
9
D
12
What is the next term in the sequence if it continues in the same way?
1; 5 ; 10;
A
15
B
14
C
14
D
6
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3.
4.
What is the next term in the sequence of it continues in the same way?
7; 3; 1; ....
A
0
B
5
C
3
D
4
A sequence is given in the table:
Position number of
term
Term (T )
1
2
3
4
5
8
11
14
Then T = ____
5.
A
2n + 3
B
n+4
C
4n + 1
D
3n + 2
If T =
– 3, then T20 =____
A
23
B
17
C
D
3
18
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6.
If T = 3 – 2 , then T6 = ____
A
12
B
9
C
9
D
7.
3
T = 3 – 5 , the difference between consecutive terms is:
A
8.
9.
5
B
5
C
3
D
n
The missing number in the following linear sequence is:
-14; 6; ....; 46
A
26
B
14
C
6
D
22
The missing number in the following linear sequence is:
.......; -5; -11; -17.
A
-1
B
1
C
D
6
0
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10.
The missing number in the following linear sequence is:
5 ; ......11
A
6
B
8
C
6
D
3
[10]
Section B
11.
The sequence 8; 6; 4; ... is given. Find T10.
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________
12.
Complete the number pattern below:
1
11
111
1111
11111
111111
×
×
×
×
×
×
1
11
111
1111
11111
111111
=1
=121
=12321
=1234321
=________
=________
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________
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13.
Figure 1
a)
Figure 2
Figure 3
Study the figures above and then draw the fourth figure.
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
b)
14.
Complete: The
th
figure will have ____________squares in total.
(2)
The following triangular figures are built with matches:
Figure 1
a)
Figure 2
Figure 3
How many matches are added each time to form the next figure?
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
b)
How many matches will be needed to form Figure 8?
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________
15.
Find the missing numbers in the following linear number sequence:
4; ________; ________; 22
(2)
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16.
Patterns are built with squares, as shown below:
Pattern 1
a)
Pattern 2
Pattern 3
Draw the next pattern.
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
b)
Find the number of squares in the
th
pattern.
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________
[15]
Section C
17.
A decoration on a wooden stool is formed by inlaid ivory triangles , as
shown below. The pattern is built in stages.
Stage 1
Stage 2
Stage 3
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a)
Complete Stage 4:
(2)
b)
Complete the table below:
Pattern number
Number of triangles
1
2
3
4
(2)
c)
How many triangles are there in Stage 10?
(2)
_____________________________________________________________________________________
d)
How many triangles are there in Stage n?
(2)
_____________________________________________________________________________________
e)
Which stage needs 98 triangles?
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________
18.
A measuring cylinder is filled with a certain volume of water. Then
marbles are dropped into the water by holding the cylinder sideways and
sliding the marbles carefully into the cylinder so that no water is spilled.
After 3 marbles were added, the volume reading was 109 ml. When the
total number of marbles in the cylinder was 6, the volume reading was
118 ml.
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a)
Complete the table below:
Number of marbles ( )
0
Volume of water in ml (V)
1
2
3
109
4
5
6
118
(5)
b)
What is the volume of one marble in cm3? (1 ml = 1 cm3)
(1)
_____________________________________________________________________________________
c)
Write down a formula in the form V = _______ by which the volume of
water can be calculated for any number of marbles.
(2)
_____________________________________________________________________________________
d)
If the maximum volume of the measuring cylinder is 250 ml, how
many marbles can be added?
(2)
_____________________________________________________________________________________
19.
Study the number triangle below:
Row 1
Row 2
Row 3
2
Row 4
2 5
Row 5 2 5 8
a)
2
2 5
5 8
8 11
11 14
2
5 2
8 5 2
11 8 5 2
What is the number in the centre of the 12th row?
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________
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b)
Complete the table below:
(3)
Row number
Number of numbers in the row
1
1
2
3
3
5
4
7
7
[25]
Total: 50
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