: Algebra / Logic items B
Trend Task
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Approach: Independent Level: Year 4 and year 8
Focus: Varied algebra items.
Resources: None.
208KB
Questions/instructions:

% responses
2001 ('97)
y4
y8

Write a rule for each number pattern using and , then complete them.

The first two are done for you.

1.
55 (•)
49 (•)
2.
7 (•)
 
 
3.
8 (•)
39 (•)
4.
2 (•)
36 (•)

Use the machine to finish putting numbers in the spaces on the card.

 
Number in
Number out
5.
2
9
6.
7
34
7.
12
59
8.
3
14
9.
10
49
 
39 (•)
30 (•)
28 (•)
23 (•)
 
67 (•)
64 (•)
62 (•)
58 (•)
52 (•)


10.
Squares
1
2
3
4
5
6
Matches
4
7
10
13
16
19
 
23 (•)
 
60 (•)
11.
Predict the number of matches needed to make 20 squares.

61






22 (•)
12.
How many squares are in the 5th building?

25




15 (•)


42 (•)
13.
How many squares are in the 10th building in this pattern?

100






11 (•)
14. Lee delivers newspapers. Let  x represent the number of newspapers that Lee delivers each day.

Which statement represents the total number of newspapers that Lee delivers in 5 days?
A
 5 x x
35 (21)
69 (66)
B
 5 + x      
C
 x  5
D
 (x + x) x 5
15.The cost to rent a motorbike is given by the following formula:

Cost = ($3 x number of hours) + $2

Fill in this table:
Time in Hours
Cost in $
1
5
4
14
5
17

both correct
48 (47)
one correct
16 (11)
16. Write   or  or  to make this statement true:
456  8
=
 456 x 1/8
18 (•)
17. Here is a number sentence:         3 x  < 14

Which number could go in the to make the sentence true?
A
  4
52 (37)
B
  5  
C
  12
D
  13
18. Which number sentence is true?
A
  321 < 123  
B
  321 < 321
C
  321 > 123
47 (33)
D
  321 = 123
19 Fill in the empty spaces on the grid to finish the pattern.
Number correct:
6
28 (20)
 
5
9 (7)
 
4
18 (13)
 
3
10 (9)
 
2
15 (14)
 
1
10 (12)
 
0
10 (25)

20. Which is true?
A
  16 < 15  
B
  16 > 17
C
  17 < 16
D
  17 > 16
56 (43)
21. It costs $3 for every hour to rent a bike.

Fill in this table:
Time in Hours
Cost in $
1
3
4
12
5
15

both correct
40 (•)
one correct
19 (•)
Commentary
This collection of items included some used previously in 1997 and others new in 2001. On five trend items, year 4 students in 2001 performed substantially better than the 1997 students. Year 8 students performed similarly in 1997 and 2001 on the two year 8 trend items.
 
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