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PIMSO 2022 - Mathematics - Grade 1 - National Round

Question 1

How many even numbers are there between 1 and 100?

Question 2

What is the largest integer that can be formed from the digits 5,2,7,0,9,0?

Question 3

How many 3s should you add together to obtain 51?

Question 5

What is the nearest composite number to 90 (without including 90 itself)?

Question 6

Adding N to 19 and then subtracting 6 afterwards will give out 25. What is N?

Question 7

At the end of a meeting, four students shake hands with each other once. How many handshakes will be there altogether?

Question 8

It is Leta’s birthday today. She is 5 years older than Leo. If you add their ages the sum is 27. How old is Leta?

Question 9

Find the odd man out

Question illustration
  1. Figure A
  2. Figure B
  3. Figure C
  4. Figure D
  5. Figure E

Question 11

Four moons – Deimos, Ganymede, Phobos, Titan – were talking to each other and comparing their sizes.

Titan said “I am bigger than Phobos.”
Deimos said “Ganymede is bigger than Titan.”
Phobos said “Titan is bigger than Deimos.”
Ganymede said “Phobos is bigger than Deimos.”

Which moon is the largest?

Question 12

A clock shows 6:00 AM. If the minute hand points in the direction of west, then in which direction is the hour hand pointing?

Question 13

Find the number K if $(K+84+K)=[(K\times9)+14]$.

Question 14

Simplify $383+137+350=444-174+\underline{\qquad}+100$.

Question 15

Simplify:
$31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49$.

Question 16

Simplify:
$1{,}012+2{,}013+3{,}014+4{,}015+5{,}016+6{,}017+7{,}018+8{,}019+9{,}020+10{,}021+11{,}022+12{,}023$.

Question 17

Find the number F if $F\times17\times257=21{,}845$.

Question 18

Find the number F if $F\times5\times17=850$.

Question 19

A circular pizza is divided equally into 8 parts. What is the angle at the vertices of each piece?

Question illustration