IKMC 2027 - Grades 3-4 - Self-study SET 18 - Thematic Batch 3

Which number does X represent in the number triangle?

Some separate triangles and rectangles lie on a table. Altogether they have 17 sides. How many triangles are there?

Nine points on a circle are numbered 1 to 9. Starting at 1, connect points clockwise, skipping one point each time, as shown. Which picture results when the process finishes?

Alice chooses one of the numbers below. It is even and all its digits are different. The hundreds digit is twice the units digit, and the tens digit is larger than the thousands digit. Which number did she choose?

A mathematics club has 25 boys and 19 girls. Each week two new boys and three new girls join. After how many weeks will the numbers of boys and girls be equal?

A digital clock shows 20:18. Which pictured clock shows the nearest later time using exactly the same digits?

To turn the orange gear, Alan must fit the green, blue, red and pink gears at positions a,b,c,d. The gear radii and distances between centres are shown. At which position must the pink gear go?

Peta the rabbit has 20 carrots and eats two each day. The twelfth carrot is eaten on Wednesday. On which weekday did Peta start eating the carrots?

Rabby the rabbit is 8 years old. Her mother is four times as old. After how many years will her mother be three times as old as Rabby?

At every exact hour a clock tower strikes as many times as the hour number. It also strikes once at each half-hour. How many strikes are heard from 7:55 to 10:45?

Pia has the connected chain of sticks shown. Which pictured shape can she not make with that chain?

Andrew, Stefan, Robert and Marko meet at a concert in Hanoi. They come from different cities: Paris, Dubro, Rome and Berlin, in some order.
• Andrew and the person from Berlin arrive first. Neither has ever been to Paris or Rome.
• Robert is not from Berlin and arrives at the same time as the person from Paris.
• Marko and the person from Paris enjoy the concert very much.
Where is Marko from?

Which pictured cube can be formed by folding the paper shown?

Four cats, Chess, Tom, Jack and Cún, face different directions as shown. Tom sees the goldfish but not the flower. Cún sees the butterfly and the goldfish. Chess is the only cat that sees the clock. Tom sits between Chess and Cún. Which cat is Cún?

Which figure has the greatest sum of its digits?

Six strips of paper are woven together as shown. Which picture shows the view from the back?

Seven cards numbered 1 to 7 are in a box. Ann randomly takes three cards. Kanga then randomly takes two of the four remaining cards. Ann says, “I know for certain that the sum of your two cards is even.” What is the sum of Ann’s three cards?

Cristi has ten coins worth 1,2,3,…,10 units. In how many ways can all the coins be divided into three groups with equal total value?

A book cover has two rectangular holes. The open book is shown. Which vehicles will be visible when the cover is closed?

Basil wants to cut the first figure into pieces congruent to the second figure. How many such pieces can he make?