# Mathematics Multiple Choice #2

Can you solve these slightly harder maths problems?
Quiz by Stewart
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Last updated: January 14, 2019
 First submitted January 14, 2019 Times taken 67 Report this quiz Report
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1. What is the value of
2/5
+
2/50
+
2/500
2. How many perfect squares have a 7 as their units digit?
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?
4. For what value of x is 64x equal to 5125?
5. A water tank is
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?
6. What is the only positive integer that has exactly 8 divisors including 6 and 15?
7. How many numbers can be written as a sum of two different positive integers, each at most 100?
8. How many weeks are there in 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 minutes?
9. Suppose that 8n = 27. What is the value of 4n?
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?
11. What is a half of a third, plus a third of a quarter, plus a quarter of a fifth?
12. What is the remainder when 22 x 33 x 55 x 77 is divided by 8?
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?
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
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?
+1
Level 52
Jan 14, 2019
Oh dear... only got 8/15! "Use it or lose it" in action! Haha, will try harder next time :o)

PS

I'm sure you'll know already but the &times; HTML entity should render the multiplication sign okay i.e. × vs x

+2
Level 68
Jan 15, 2019
I did not know that! I was so worried trying to find a simple enough html for a latex x that I didn’t realise I could distguish them another way!
+1
Level 52
Jan 15, 2019
I worked with media-neutral XML files for a bit and had to know lots of these! If the files were later used in e.g. a TTS engine it would correctly "read/speak" symbols etc.

These here should all work as they're from c. 2001, maybe the minus one is of use too?! Thanks! :o)

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