Counting and multi-step puzzles · SET 3

How many rectangles are there?

The figure shows a pattern: each number is connected to the next by an arrow that goes down, then right, then up-right, and repeats (0 down to 1, right to 2, up to 3, then down to 4, ...). Which of the arrows below shows correctly how 30 is connected to 31? Choose the number of the correct box (1 to 4, from left to right).

What is the greatest number of pieces of cake that you can get with just 3 straight cuts?

Anne chooses a number. She adds 6 and then multiplies the sum by 4. She then subtracts 8 from the product. If the new number is 28, what number did Anne choose?

A frog falls to the bottom of a 200-cm well. It leaps up 30 cm each day and slides down 20 cm each night. How many days will it take for the frog to leap out from the well?

I am thinking of a number. If you add 100 to this number and then subtract 50 from the new number, you will get 250. What number am I thinking of?

Move horizontally and vertically passing through the numbers only once. Add up the numbers you pass. Which path has the greatest total? Write down this total.

I am a four-digit number. My ones' digit is the sum of my tens' and thousands' digit. My tens' digit is the sum of my hundreds' and thousands' digit. My hundreds' digit is one more than my thousands' digit. If my thousands' digit is 1, what number am I?

How many triangles can you find in the figure below?

Which set of triangles will balance the scale? Choose its number.

How many squares can you find in the figure?

How many rectangles are there in the figure?

Which shape(s) will balance the last scale? Choose the number of the correct option.

I am 11 years old and my sister is 4 years old. In how many years will I be twice as old as my sister?

The diameter of each circle A, B, C and D is 4 cm. What is the distance in centimetres between the centre of circle A and the centre of circle D when the four circles are in a straight line touching each other?

Add 10 to a certain number. Divide the sum by 5. Multiply the quotient by 10. The product is half of 220. What is the number?

If you join the opposite corners of the rectangle by drawing 2 straight lines, how many triangles will there be in the completed drawing?

Sue and Veronica cycle on a track around a square field in the directions shown by the arrows. Sue cycles one and a half times as fast as Veronica. The track is marked off into 8 equal sections. If Sue started from H and Veronica started from F, at which letter does Sue catch up with Veronica? Write the letter.

I thought of a number. I multiplied it by 4 and got A. I then added 22 to A and got B. I subtracted 60 from B and got C. I realised that C was the square root of 100. What number was I thinking of?

How many triangles can you see in the drawing?