: 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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