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Question 13 Marks
Evaluate: 0.12 of(0.104 – 0.02)+ 0.36 x 0.5
Answer
0.12 of(0.104 – 0.02)+ 0.36 x 0.5
= 0.12 of 0.084 + 0.36 × 0.5
= 0.01008 + 0.180 = 0.19008
0.104
- 0.020
0.084

0.084
x 0.12
0.01008

0.01008
+ 0.180
0.19008
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Question 23 Marks
Find die value of: 0.98 of 235 – 0 .09 of 3.2
Answer
0.98 of 235 – 0.09 of 3.2 = 230.30 - 0.288 = 230.012
230.300
- 0.288
230.012
3.20
× 0.09
.2880
235
× 0.98
1880
21150
23030
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Question 33 Marks
Find die value of: 6.25 of 8.4 – 4.7 of 3.24
Answer
6.25 of 8.4 – 4.7 of 3.24
= 52.500 - 15.228 = 37.272
6.25
× 8.4
2500
50000
52500
3.24
× 4.7
2268
12960
15228
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Question 43 Marks
Find die value of: 2.3 of 7.3 kg + 0.9 of 0.48 kg
Answer
2.3 of 7.3 kg + 0.9 of 0.48 kg
= 16.79 kg + 0.432 kg = 17.222 kg
7.3
× 2.3
219
1460
1679
0.48
× 0.9
0.432
16.790
+ 0.432
17.222
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Question 53 Marks
Find die value of: 0.5 of Rs. 7.60 + 1.62 of Rs. 30
Answer
0.5 of Rs. 7.60 + 1.62 of Rs. 30
= Rs. 3.80 + Rs. 48.60
= Rs. 52.40
7.60
× 0.5
3.800
1.62
× 30
48.60
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Question 63 Marks
One kilogram of oil costs Rs. 73.40. Find the cost of 9.75 kilograms of oil.
Answer
Cost of 1 kg oil = Rs. 73.40
∴ Cost of 9.75 kg oil = Rs. 73.40 × 9.75
= Rs. 715.6500
= Rs. 715.65
73.40
× 9.75
36700
513800
6606000
7156500
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Question 73 Marks
The weight of an object is 3 .06 kg. Find the total weight of 48 similar objects.
Answer
Weight of one object = 3.06 kg
∴ Weight of 48 object = 3.06 × 48 = 146.88 kg
3.06
× 48
2448
12240
14688
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Question 83 Marks
Write 14.29462, 19.2, 46356.82 and 69, correct to five significant figures.
Answer
Correct to five significant figures
14.29462→ 14.295
19.2 → 19.200
46356.82 →46357
69 → 69.000
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Question 93 Marks
Write 60.974. 2.8753, 0.001789 and 400.04, correct to four significant figure.
Answer
Correct to four significant figures
60.974 →60.97
2.8753 → 2.875
0.001789 → 0.001789
400.04 → 400.0
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Question 103 Marks
Write 35.869,0 008426,4.952 and 382.7, correct to three significant figures.
Answer
Correct to three significant figures are
35.869 → 35.9
0.008426 →0.00843
4.952→ 4.95
382.7 →383
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Question 153 Marks
Express as recurring decimal: $\frac{5}{6}$
Answer
$\frac{5}{6}=0.8333 \ldots=0.8 \overline{3}$
$6) \overline{5.0000}(0.8333 \ldots$.
$ \begin{aligned} & 48 \\ & \hline 20 \\ & \frac{18}{20} \\ & \frac{18}{20} \\ & \frac{18}{2} \\ & \hline \end{aligned} $
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Question 173 Marks
Express as recurring decimal: $1 \frac{1}{3}$
Answer

$1 \frac{1}{3}=\frac{4}{3}=1.333 \ldots=1 . \overline{3}$
Image
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Question 183 Marks
Find whether the given division forms a terminating decimal or a non-terminating decimal:
0.56 ÷ 0.11
Answer

$
0.56 \div 0.11=56 \div 11=5.0909 \ldots
$
Hence it is non-terminating decimal.
Image
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Question 193 Marks
Find whether the given division forms a terminating decimal or a non-terminating decimal:
42 ÷ 9 = 4.666...
Answer

$
42 \div 9=4.666 \ldots
$
Hence it is non-terminating decimal.
Image
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Question 203 Marks
Find whether the given division forms a terminating decimal or a non-terminating decimal:
5 ÷ 6
Answer

$5 \div 6=0.8333 \ldots . .$
Hence it is non - terminating decimal.
Image
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Question 213 Marks
Find whether the given division forms a terminating decimal or a non-terminating decimal:
8 ÷ 3
Answer

$
8 \div 3=2.666 \ldots
$
Hence it is non - terminating decimal.
Image
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Question 223 Marks
Find the cost of 36.75 kg wheat at the rate of ₹12.80 per kg.
Answer
Total weight of wheat = 36.75 kg
Cost of 1 kg of wheat = Rs. 12.80
∴ Cost of 36.75 kg of wheat
= 36.75 × 12.80 = Rs. 470.40
36.75
× 12.80
470.40
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Question 233 Marks
Evaluate: 0.5 x 0.6 x 0.7
Answer
0.5 x 0.6 x 0.7
0.5
× 0.6
0.30
000
0.30
× 0.7
210
0000
0.210
(Sum of decimal places = 1 + 1 + 1 = 3)
∴ 0.5 x 0.6 x 0.7 = 0.210 or 0.21
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Question 243 Marks
Evaluate: 0.4 x 0.04 x 0.004
Answer
0.4 x 0.04 x 0.004
0.004
× 0.04
0016
00000
000000
0.00016
× 0.4
0.000064
(Sum of decimal places = 1 + 2 + 3 = 6)
∴ 0.4 x 0.04 x 0.004 = 0.000064
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Question 253 Marks
Evaluate: 1.2 x 1.2 x 0.4
Answer
1.2 x 1.2 x 0.4
1.2
× 1.2
0.24
120
1.44
× 0.4
576
0000
0.576
(Sum of decimal places = 1 + 1 + 1 = 3)
∴ 1.2 x 1.2 x 0.4 = 0.576
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Question 263 Marks
Evaluate: 0.3 x 0.3 x 0.3
Answer
0.3 x 0.3 x 0.3
0.3
× 0.3
09
000
0.09
× 0.3
0.027
(Sum of decimal places = 1 + 1 + 1 = 3)
∴ 0.3 x 0.3 x 0.3 = 0.027
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Question 273 Marks
Evaluate: 0.8 x 1.5 x 0.6
Answer
0.8 x 1.5 x 0.6
0.8
× 0.8
120
000
1.20
× 0.6
720
0000
0.720

(Sum of decimal places = 1 + 1 + 1 = 3)
∴ 0.8 x 1.5 x 0.6 = 0.720 or 0.72
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Question 283 Marks
Evaluate: 3.2 x 2.5 x 0.7
Answer
3.2 x 2.5 x 0.7
3.2
× 2.5
160
640
8.00
× 0.7
5600
0000
5.600

(Sum of decimal places = 1 + 1 + 1 = 3)
∴ 3.2 x 2.5 x 0.7 = 5.600 or 5.6
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Question 293 Marks
Evaluate: 4.3 x 0.52 x 0.3
Answer
4.3 x 0.52 x 0.3
0.52
× 4.3
156
2080
2.236
× 0.3
6708
00000
0.6708

(Sum of decimal places = 1 + 2 + 1 = 4)
∴ 4.3 x 0.52 x 0.3 = 0.6708
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Question 303 Marks
Evaluate: 257.894 ÷ 0.169
Answer

$\begin{aligned} & 257.894 \div 0.169 \\ & =257894 \div 169=1526\end{aligned}$
Image
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Question 333 Marks
Divide the given number by 10, 100, 1000 and 10000
4.906 x (0.2) ²
Answer
4.906 x (0.2)² = 4.906 x 0.2 x 0.2
= 4.906 x 0.04 = 0.19624
Now 0.19624 + 10 = 0.019624,
0.19624 + 100 = 0.0019624,
0.19624 + 1000 = 0.00019624,
0.19624 + 10000 = 0.000019624
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Question 343 Marks
Divide: 4.8432 by 0.08
Answer

$\begin{aligned} & 4.8432 \text { by } 0.08=4.8432 \div 0.0800 \\ & =48432 \div 800=60.54\end{aligned}$
$\begin{aligned} & 800) \frac{60.54}{48432.00} \\ & \frac{-4800}{4320} \\ & \begin{array}{r}-4000 \\ \hline 3200 \\ 3200 \\ \hline x x \\ \hline\end{array} \\ & \end{aligned}$
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Question 353 Marks
Divide: 7.644 by 1.4
Answer

$\begin{aligned} & 7.644 \text { by } 1.4=7.644 \div 1.400 \\ & =7644 \div 1400=5.46\end{aligned}$
Image
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Question 373 Marks
Evaluate: 12.003 × (0.2)5
Answer
12.003 × (0.2)$^5$
= 12.003 × 0.2 × 0.2 × 0.2 × 0.2 × 0.2
= 12.003 × 0.00032 = 0.00384096
12003
× 32
24006
360090
384096
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Question 383 Marks
Evaluate: 0.8 × 1.2 × 0.25
Answer
0.8 × 1.2 × 0.25 = 0.96 × 0.25
= 0.2400
= 0.24
96
× 25
480
1920
2400
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Question 393 Marks
Evaluate: 2.4 × 3.5 × 4.8
Answer
2.4 × 3.5 × 4.8 = 8.40 × 4.8
= 8.4 × 4.8
= 40.32
24
× 35
120
720
840

8.4
× 4.8
672
3360
4032
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Question 403 Marks
Evaluate: 4.75 x 0.08 x 3
Answer
4.75 × 0.08 × 3 = 4.75 × 0.08 × 3
= 4.75 × 0.24
= 1.1400 = 1.14
4.75
× 0.24
1900
9500
1.1400
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Question 413 Marks
What is the excess of 584.29 over 213.95?
Answer
Total = 584.29
Given number = 213.95
Required difference = 584.29 - 213.95 = 370.34
584.29
- 213.95
370.34
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Question 423 Marks
What should be subtracted from 100 to give 19.29?
Answer
Sum = 100
The number = 19.29
∴ The number which is to be subtracted
= 100 - 19.29 = 80.71
100.00
- 19.29
80.71
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Question 433 Marks
What should be added to 39.587 to give 80.375?
Answer
Sum = 80.375
Given number = 39.589
∴ The number which is to be added
= 80.375 - 39.587 = 40.788
80.375
- 39.587
40.788
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Question 443 Marks
Take out the sum of 19.38 and 56.025 then subtract it from 200.111.
Answer
Sum of 19.38 + 56.025 = 75.405
19.38
+ 56.025
75.405

Difference of 200.111 and 75.405
= 200.111 - 75.405 = 124.706
200.111
- 75.405
124.706
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Question 453 Marks
Simplify: 555.555 + 55.555 – 5.55 – 0.555
Answer
555.555 + 55.555 – 5.55 – 0.555
= (555.555 + 55.555) - (5.55 + 0.555)
555.555
+ 55.555
611.110

611.110
- 6.105
605.005
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Question 463 Marks
Simplify: 38.00 – 30 + 200.200 – 0.230
Answer
38.00 – 30 + 200.200 – 0.230
= (38.00 + 200.200) - (30 + 0.230)
= 238.200 - 30.230
= 207.970 = 207.97
238.200
+ 30.230
207.970
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Question 473 Marks
Simplify: 0.1835 + 163.2005 – 25.9 – 100
Answer
0.1835 + 163.2005 – 25.9 – 100
= (0.1835 + 163.2005) - (25.9 + 100)
= 163.3840 - 125.9 = 37.484
0.1835
+ 163.2005
163.3840

25.9
+ 100.0
125.9

163.3840
- 125.9000
37.4840
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Question 483 Marks
Simplify: 4000 – 30.51 – 753.101 – 69.43
Answer
4000 – 30.51 – 753.101 – 69.43
= 4000 - (30.51 + 753.101 + 69.43)
= 4000 - 853.041 = 3146.959
30.510
+ 753.101
+ 69.430
853.041

4000.000
- 853.041
3146.959
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Question 493 Marks
Simplify: 32.8 – 13 – 10.725 +3.517
Answer
32.8 – 13 – 10.725 + 3.517
= (32.8 + 3.517) - (13 + 10.725)
= 36.317 - 23.725 = 12.592
13.000
- 10.725
23.725

32.8
+ 3.517
36.317

36.317
- 23.725
12.592
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Question 503 Marks
Simplify: 86 + 16.95 – 3.0042
Answer
86 + 16.95 – 3.0042
= 102.95 - 3.0042
= 99.9458
86.00
+ 16.95
102.95

102.9500
- 3.0042
99.9458
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[3 marks sum] - MATHS STD 7 Questions - Vidyadip