Maths Quest 7Chapter 2:Positive integersTest A
Number and algebra: Number and place value
Integers
PRACTICE Test AName: ______
Solutions
Total 50 marks
FLUENCYMark
1 / Multiple Choice
The value of the 7 in 34 872 is:
A7
B70
C700
D7000
E70 000
Answer: B / 1
2 / Write 5937 in expanded notation.
Answer: 5000 + 900 +30 + 7 / 1
3 / Write the following numbers in ascending order.
2457, 2547, 457, 7004, 754
Answer: 457, 754, 2457, 2547, 7002 / 2
4 / Answer these questions, doing the calculations in your head:
- 5+12= 17
- 46+7=53
- 18−6=12
- 250−9=241
- 6×8=48
- 72÷8=9
5 / Add the following numbers, showing all working.
a
82
+ 124
Answer: 206
b
239
1285
+ 74 629
Answer:
239
1285
+ 74 629
76 153 / 2
6 / Add these numbers by first setting them out in columns.
6798 + 3419 =
Answer:
6798
+ 3419
10 217 / 2
7 / Subtract the following numbers, showing all working.
a
298
- 34
Answer: 264
b
1278
983
Answer:
1278
983
295 / 2
8 / Subtract these numbers by first setting them out in columns.
185 673 7866 =
Answer:
185 673
7866
177 807 / 2
9 / Calculate the following:
a328 8 =
b6572 34 =
Answer:
a328
8
2624
b6572
34
26 288
+ 197 160
223 448 / 4
10 / Calculate the following:
Answer: 16
Answer: 181 remainder 1 / 2
11 / Using long division evaluate the following:
34 870 15 =
Answer:
/ 2
12 / Multiple Choice
The numbers -2, 0, 11 and 3, is ascending order are:
- -2, 0, 3, 11
- 11, 3, 0, -2
- 3, 11 0, -2
- -2, 0, 11, 3
- 0, -2, 3,11
13 / Calculate the following:
- 378 × 100
- 48000÷600
14 / Use order of operations to answer the following.
a8 2 + 7 4
b56 4 ( 3 + 6) + 296
c (9 - - 7) + 4 - 2
Answers:
a
b
c =18 / 3
15 / Calculate, show your working on a number line
- -7 - + 4
- 9 - - 2
- 17 - 30
UNDERSTANDING
16 / Joseph is training for a cross-country championship and ran the following distances. Monday 1200 m
Tuesday 3450 m
Wednesday 750 m
Thursday3200 m
Friday 7625 m
Find the total distance that he ran during the week.
Answer:
1200
3450
750
3200
+ 7625
16 225
The total distance that Joseph ran was 16 225m or 16.225 km. / 2
1
17 / Two mountain climbers, Scott and Julian, were climbing in the Grampians. Scott reached a height of 3409m and Julian 2875m. How much higher than Julian did Scott climb?
Answer:
3409
2875
534
Scott climbed 534 m higher than Julian. / 2
1
18 / Estimate 67451 × 400 by rounding to the first digit
Answer: 7000 × 400 = 2 800 000 / 2
19 / Insert brackets to make the equation below true.
8 + 7 6 – 3 4 = 164
Answers:
/ 1
REASONING
20 / A question in a Year 7 test read: 10 + 3 × 6 ÷ 2.
Billy obtained an answer of 39 and the teacher marked her answer as incorrect.
Explain using mathematical reasoning why Billy’s answer was not correct.
Answer:
Billy did not follow the standard Order of Operations. Multiplication and addition take precedence over addition.
10 + (3 × 6 ÷ 2) = 19 / 2
21 / Judy estimated the answer to 34 631 × 45 as 1 500 000.
Michael estimated the answer to be 1 350 000
Show how Judy and Michael may have obtained their different estimates.
Is one estimate more correct than the other?
Answer:
Judy may have rounded to the first digit: 30 000 × 50 = 1 500 000.
Michael may have rounded 34 631 to the first digit but not rounded 45: 30 000 × 45 = 1 350 000.
The question did not ask for a specific method of estimating therefore one estimate is not more correct than the other. / 1
1
1
PROBLEM SOLVING
22 / Lucia has been offered a part-time job that pays $8 per hour.
(a)How much would Lucia earn in a ten hour shift?
(b)If she worked 5 of these shifts in a week, how much would she earn?
(c)In one month Lucia worked 12 ten-hour shifts and 14 six-hour shifts. How much money would she have earned in the month?
Answers:
(a)10 × 8 = $80
(b)5 × 80 = $400
(c)(12 10 8) + (14 6 8)
= 960 + 672
=$1632
Lucia would earn $1632 in the month. / 2
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