JMC 2021 Challenge
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1. What is the value of $123-456+789$ ?

A:
456
B:
556
C:
567
D:
678
E:
789

2. Brianna has $\text{£}20$, all in $5\text{p}$ coins, and $\text{£}50$, all in $2\text{p}$ coins.

How many coins does she have in total?

A:
200
B:
290
C:
1000
D:
2540
E:
2900

3. What is the value of $1-2\times3+4\div5$ ?

A:
-4.2
B:
-2.8
C:
0
D:
0.2
E:
0.4

4 .How many of the following numbers are multiples of $11$?

A:
1
B:
2
C:
3
D:
4
E:
5

5. When I have walked $20\%$ of the way to school, I have $1200$ metres more to walk than when I have $20\%$ of the walk remaining.

How far, in metres, is it from my home to my school?

A:
1240
B:
1440
C:
1680
D:
1800
E:
2000

6. What is the value of $(2-\frac 12)(3-\frac13)(4-\frac14)$ ?

A:
16
B:
15
C:
14
D:
13
E:
12

7. In the diagram shown, $PT=QT=QR$

Also, $RT=RS$ and $\angle{PTQ}=36^\circ$

What is $\angle{PTS}$?

A:
72º
B:
80º
C:
90º

8. What is the value of $1-(2-(3-(4-5)))$ ?

A:
-5
B:
-3
C:
-1
D:
1
E:
3

9. Each cell in the cross number below contains a single non-zero digit.

The answer to each clue is a two-digit number.

What is the value of x?

A:
1
B:
3
C:
5
D:
7
E:
9

10. The diagram shows a rhombus formed by joining each vertex of a square to the midpoint of a side of the square.

What fraction of the area of the square has been shaded?


11. A particular prism has ten faces. How many edges does it have?

A:
20
B:
21
C:
24
D:
27
E:
30

12. The pupils in my class work very quickly. Jasleen answers four questions every $30$ seconds and Ella answers five questions every $40$ seconds.

Last week, Jasleen took exactly $1$ hour to answer a large set of questions.

How many minutes more than Jasleen did Ella take to answer the same set of questions?

13. Five line segments coincide at a point as shown.

What is the sum of the marked angles?

     


14. I begin with a three-digit positive integer. I divide it by $9$ and then subtract $9$ from the answer.

My final answer is also a three-digit integer.

How many different positive integers could I have begun with?

A:
3
B:
5
C:
7
D:
11
E:
13

15. Alex has a pile of $2\text{p}$. She swapped exactly half of them for the same number of $10\text{p}$ coins. Now she had $\text{£}4.20$.

How much money did Alex have initially?


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