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Mathematics Multiple Choice #2
Can you solve these slightly harder maths problems?
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Last updated: January 14, 2019
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| First submitted | January 14, 2019 |
| Times taken | 104 |
| Average score | 40.0% |
| Rating | 5.00 | Report this quiz | Report |
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1.
What is the value of
2/5
+ 2/50
+ 2/500
0.111
✓
0.222
✓
0.333
✓
0.444
✓
0.555
✓
2.
How many perfect squares have a 7 as their units digit?
0
✓
1
✓
2
✓
3
✓
4
✓
3.
The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6.
What is the difference between the largest angle and the smallest angle?
What is the difference between the largest angle and the smallest angle?
30º
✓
40º
✓
50º
✓
60º
✓
70º
✓
4.
For what value of x is 64x equal to 5125?
6
✓
7.5
✓
8
✓
16
✓
40
✓
5.
A water tank is
How much water does the tank hold when full?
5/6
full. When 30 litres of water are removed from the tank, the tank is 4/5
full.
How much water does the tank hold when full?
180 litres
✓
360 litres
✓
540 litres
✓
720 litres
✓
900 litres
✓
6.
What is the only positive integer that has exactly 8 divisors including 6 and 15?
21
✓
30
✓
45
✓
60
✓
90
✓
7.
How many numbers can be written as a sum of two different positive integers, each at most 100?
100
✓
196
✓
197
✓
198
✓
199
✓
8.
How many weeks are there in 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 minutes?
1
✓
2
✓
3
✓
4
✓
5
✓
9.
Suppose that 8n = 27. What is the value of 4n?
3
✓
4
✓
9
✓
13.5
✓
no such n exists
✓
10.
The positive integers a, b and c are all different. None of them is a perfect square, but all the products ab, ac and bc are squares. What is the least value that a + b + c can be?
14
✓
28
✓
42
✓
56
✓
70
✓
11.
What is a half of a third, plus a third of a quarter, plus a quarter of a fifth?
1/1440
✓
3/38
✓
1/30
✓
1/3
✓
3/10
✓
12.
What is the remainder when 22 x 33 x 55 x 77 is divided by 8?
2
✓
3
✓
4
✓
5
✓
6
✓
13.
On a training ride, Laura averages speeds of 12 km/h for 5 minutes, then 15 km/h for 10 minutes and finally 18 km/h for 15 minutes.
What was her average speed over the whole ride?
What was her average speed over the whole ride?
13 km/h
✓
14 km/h
✓
15 km/h
✓
16 km/h
✓
17 km/h
✓
14.
How many of the following four equations has a graph that does not pass through the origin?
y = x4 - x
y = x4 + 1
y = x4 + x
y = x4 + x2
y = x4 - x
y = x4 + 1
y = x4 + x
y = x4 + x2
0
✓
1
✓
2
✓
3
✓
4
✓
15.
The following eleven integers are written in ascending order:
1, x, x, x, y, y, y, y, 8, 9, 12
The mean of these eleven integers is 7. What is the median?
The mean of these eleven integers is 7. What is the median?
6
✓
7
✓
7.5
✓
8
✓
9
✓
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PS
I'm sure you'll know already but the × HTML entity should render the multiplication sign okay i.e. × vs x
These here should all work as they're from c. 2001, maybe the minus one is of use too?! Thanks! :o)