Question 1
Alice wrote the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11 on a whiteboard. She then erased some of the numbers, and added up the remaining numbers. She got a sum of 43. At most how many numbers were left on the whiteboard?
Question 2
There are 5 large boxes. In each large box, there are 5 medium-sized boxes. In each medium box, there are 5 small boxes. In each small box, There is 1 smaller box. How many boxes are there in total?
Question 3
In the following drawing, we see a string with 4 beads.
Which of the strings below is the same string?
Question 4
Put the numbers 87, 32, 11, 76, 55 in the boxes so that everything is correct.
Which number should go into the box marked with the question mark?
Question 5
If ◊ + ◊ = 4 and ∆ + ∆ + ∆ = 9, what is the value of ◊ + ∆ = ?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Question 6
Question 7
Question 8
Question 9
Charles cut a rope in three equal pieces and then made some equal knots with them. Which figure correctly shows the three pieces with the knots?
Question 10
Question 11
Question 12
How many different numbers greater than 10 and smaller than 25 with distinct digits can we make by using any two of the digits 2, 0, 1, and 8?
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Question 13
What is the length of the fence?
(A) 20 cm (B) 21 cm (C) 22 cm (D) 23 cm (E) 25 cm
Question 14
The road from Anna's house to Mary's house is 16 km long.
The road from Mary's house to John's house is 20 km long.
The road from the crossroad to Mary's house is 9 km long.
How long is the road from Anna?s house to John's house?
(A) 7 km (B) 9 km (C) 11 km (D) 16 km (E) 18 km
Question 15
There are four ladybugs on a 4?4 board. Two are asleep and do not move. The other two ladybugs move one square every minute (up, down, left, or right). Here are pictures of the board for the first four minutes:
Which of these is a picture of the fifth minute (Minute 5)?
Question 16
In the country of Jewelries you can trade three sapphires for one ruby (picture 1). For one sapphire you can trade two flowers (picture 2). How many flowers can be traded for two rubies?
(A) 6 (B) 8 (C) 10 (D) 12 (E) 14
Question 17
At some moment Jim and Ben sat on the carousel as in the picture. Carousel turned moving Ben to the place where previously was Jim. At that moment where was Jim?
Question 18
How many triangles are there in the picture?
(A) 8 (B) 9 (C) 10 (D) 11 (E) 12
Question 19
Alfred was turning a shape. The first three turns are shown in the picture. He did ten turns in total. How does the shape look like at the end?
Question 20
In which picture pears are half as many carrots and apples are twice as many carrots?
Question 21
Brian and William are queuing up in the theatre. Brian knows that there are 7 people in front of him. William knows that there are in total 11 people in the queue. If Brian is just in front of William, how many people in the queue are behind William?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6
Question 22
Now it is a quarter past one o'clock. What time it was two and a half hours ago?
Question 23
Liz is making paper crowns like this , by printing and cutting the forms from the models she got from Internet. They come in two separated sheets of paper, If she wants to make 7 crowns, what is the minimum number of sheets that she will have to print?
(A) 7 (B) 9 (C) 10 (D) 11 (E) 13
Question 24
If the table of the figure, which has been partially covered by a spot of ink, must show correct sums, what number should go to the box with the question mark?
(A) 10 (B) 11 (C) 12 (D) 13 (E) 15
Question 25
In Old McDonald's Barn there are one horse, two cows and three pigs. How many more cows does McDonald Barn need so that half of all the animals are cows?
(A) 0 (B) 1 (C) 2 (D) 3 (E) 4
Question 26
Sepehr has two paperboards. He colored one side of each paperboard like this:
Which shape can he make using both pieces?
Question 27
The Kangaroo makes 10 jumps in 1 minute and rests 3 minutes after, then he makes again 10 jumps in 1 minute and rests 3 minutes, and so on. At least, after how many minutes will he make 50 jumps?
(A) 4 (B) 5 (C) 16 (D) 17 (E) 21
Question 28
Which stamp was it used to get the figure?
Question 29
Each of the 4 keys fits only one of the 4 padlocks and the numbers on the keys refer to the letters on the padlocks.
What is written on the last padlock?
(A) GDA (B) ADG (C) GAD (D) GAG (E) DAD
Question 30
If John looks through the window he can see half of the kangaroos in the park. How many
kangaroos are there in the park?
(A) 12 (B) 14 (C) 16 (D) 18 (E) 20
Question 31
In a stack of three cards with holes, the top of each card is white and the bottom is grey. Basil threaded these cards on a rope. After some manipulation of the thread of these cards, which situation can he get?
Answer Keys
Question 1: 8
Question 2: 280
Question 3: B
Question 4: 87
Question 5: D
Question 6: A
Question 7: C
Question 8: C
Question 9: B
Question 10: E
Question 11: C
Question 12: A
Question 13: B
Question 14: E
Question 15: D
Question 16: D
Question 17: C
Question 18: C
Question 19: D
Question 20: D
Question 21: A
Question 22: B
Question 23: B
Question 24: B
Question 25: C
Question 26: C
Question 27: D
Question 28: E
Question 29: D
Question 30: A
Question 31: C