IKMC 2018 - Grades 3-4 - Set 2 - Self-study

Leonie has ten rubber stamps, one for each digit 0,1,2,3,4,5,6,7,8,9. She prints the date of the Kangaroo contest shown below. How many different stamps does she use?

The picture shows three flying arrows and nine fixed balloons. An arrow bursts any balloon it hits, then continues in the same direction. How many balloons will the arrows hit?

Susan is 6 years old. Her sister is one year younger and her brother is one year older. What is the sum of their three ages?

Five screws are shown in a block. Four screws have the same length, and one is shorter. Which screw is the shortest?

Sophie the ladybird is shown above. She turns around without being reflected. Which picture below is not Sophie?

Lucy folds a sheet of paper in half and cuts out the shape shown. What will she see when she unfolds it?

Diana first scores 12 points with three arrows. On her second turn she scores 15 points. The three targets show her hits. How many points does she score on her third turn?

Mike sets the table for eight people. For each seated person, the fork should be on the left of the plate and the knife on the right. How many places are set correctly?

Roberto makes designs from the two-square tile shown: one green star and one blue circle. Tiles may turn. How many of the five designs can he make?

Albert fills the grid using a hippo, a shark, a frog, a ghost and a flower. Each figure must appear exactly once in every row and every column. What belongs in the question-mark cell?

Tom cuts squares and trapezia of the two shapes shown from grid paper. What is the smallest number of these pieces needed to cover the boat completely, without gaps or overlaps?

Swap the two colours in the given picture, and then turn the picture. Which option shows the result?

Peta rabbit has 20 carrots and eats two each day. She ate the 12th carrot on Wednesday. On which day did she start?

Toby glues ten cubes together as shown and paints the entire outside, including the bottom. How many cubes are painted on exactly four faces?

There are eight flowers on a rose bush. Butterflies and dragonflies occupy more than half the flowers, with at most one insect per flower. There are twice as many butterflies as dragonflies. How many butterflies are there?

Captain Kook sails from Easter through every island on the shown route and back to Easter, travelling 100 km. Des–Lako has the same length as Easter–Volcano–Flower. How far is it directly from Easter to Lako?

Baby Roo enters the numbered house through the top door, visits rooms with strictly increasing numbers, and then leaves. Through which labelled door does he leave?

Four balls have different weights 10,20,30,40. The balances show their relationships. Which ball weighs 30?

The band shown can be fastened in five ways. How much longer is it when fastened in one hole than when fastened in all five holes?

Five ancient symbols represent the five different numbers 1,2,3,4,5. Their values are unknown, but the three pictured sums hold. Which symbol represents 3?