Sample Questions

Q1.Look at the picture with the dwarves. Who is the odd one out? Cross it out.

Q2.The cookies are baked in the oven for 15 minutes. On the second clock, draw how the hands will look after 15 minutes.

Q3.Show the easiest way to find the sum of the following numbers.
1 + 2 + 9 + 3 + 8 + 4 + 7 + 6

Q4.In the store, 8 refrigerators were bought in one day. How many trips are needed to deliver all the purchased refrigerators if only 3 refrigerators can be loaded into the truck?

Q5.Look at the picture carefully. Find the pattern and choose the number that should go in place of the question mark.

Q6.Crystals of different colors are hidden in the barrel, the box, and the trunk. Mr. Smith says the yellow crystal is not in the box. He also says the green crystal is neither in the trunk nor in the box. Can you figure out where each crystal is hidden?

Q7.Diana has two skirts—one red and one blue—and two blouses: one striped and one polka-dotted. How many different outfits does she have?

Q1.In the sequence 1, 2, 3, 4, 5, 6, 7, the number 4 is in the center. Which number is in the center of the sequence 7, 8, 9, 10, …, 23, 24, 25?

Q2.Which shape appears more in the picture: triangles or circles?

Q3.Bill turned 5 years old four years ago. How old will he be in three years?

Q4.A little fox collected a whole basket of vegetables: 18 carrots, 22 potatoes, and 38 turnips. But it turned out that: among the carrots and potatoes, 14 are bruised, among the potatoes and turnips, 32 are bruised, among the carrots and turnips, 34 are bruised. How many vegetables were good?

Q5.Tanvi gave 20 oranges to one group of friends. She then gave half of the remaining oranges to another group. She still had 30 oranges left. How many oranges did Tanvi start off with?

Q6.Grandpa rolls 12 meatballs every hour, and Emma eats 4 meatballs each following hour. The first batch of meatballs was ready exactly at 1 pm. How many meatballs will be on the plate at exactly 4 pm?

Q7.In the morning, 14 young animals, a mix of kittens and puppies, were playing in the yard. By lunchtime, 4 kittens and 2 puppies wandered off. After that, the number of kittens and puppies left in the yard was the same. How many puppies were there in the morning?

Q1.What number should go in the blank?
34 + 35 + 36 + 37 = 14 + 15 + 16 + 17 + ____

Q2.Liam's swimming lesson starts at 10:30 a.m. On Wednesday, he got delayed and arrived 56 minutes late. What time did Liam arrive at his lesson that day?

Q3.Evan had KES 1,350 in his savings jar. He wanted to buy a science kit for his cousin's birthday. His aunt gave him KES 1820 to spend on the gift. If the science kit costs KES 2,480, how much money does Evan need to take from his savings to buy it?

Q4.The grandson asked his grandfather, "How old are you?" Grandpa replied, "If I live for half as many years as I have already lived, and then one more year, I will be 100 years old." How old is Grandpa now?

Q5.During a school celebration, 15 teammates congratulated each other after achieving an average score of 85 on their project. If each teammate high-fived every other teammate exactly once, how many high-fives were exchanged in total?

Q6.At the summer sports festival, 150 visitors took part in at least one activity. 92 people played volleyball, and 18 people played volleyball and joined the relay race. How many people only joined the relay race at the festival?

Q7.In the art studio, there are 22 small tables. Some tables have 4 legs, while others have 2 legs because they are foldable. Altogether, the tables have 70 legs. How many tables have 2 legs?

Q1.In the subtraction sentence below, X represents the same digit:
X6 − 3X = 4X
What digit is X?

Q2.At the village orchard, the caretaker kept one-tenth of the harvested apples as payment for his work. If the farmer received 99 kg of apples, how many kilograms were harvested in total?

Q3.At band rehearsal, the Brass Group can play 24 short pieces in 60 minutes. The String Ensemble can play 15 short pieces in 25 minutes. If both groups begin playing at 12:00 p.m., how many pieces will they have played by 2:00 p.m.?

Q4.Oliver, Amelia, and Sophie sat in a row on a bench and asked Peter to take their picture. Then they moved around and asked him to take another photo. After that, they switched places several more times, trying all possible arrangements. How many different photographs of the three girls did Peter get?

Q5.In triangle ABC, the right angle is at C, with sides AC = 6 cm and BC = 8 cm. Find the length of the median drawn from vertex C to the hypotenuse AB.

Q6.Six players took part in a small round-robin tournament. Every player played each of the other players exactly once, and there were no draws. Helen won 4 games, Ines won 3, Janet won 2, Kendra won 2, and Lara won 2. How many games did Monica win?

Q7.How many triangles are in this diagram?

Q1.Three-sevenths of the 21 marbles in a jar are blue. How many blue marbles are in the jar?

Q2.How many three-digit numbers have a sum of digits equal to 25?

Q3.Greg went for a run on Tuesday at camp. The run took 1 hour and 30 minutes. As soon as he got back, Greg played basketball for 2 hours and 15 minutes. It was 5:30 P.M. when Greg finished playing basketball. What time did Greg start his run?

Q4.The collector owns three rare stamps. The value of Stamp A is 3/4 as much as the total value of Stamp B and Stamp C. The value of Stamp B is 2/3 as much as the total value of Stamp A and Stamp C. If Stamp B is $48,000 more than the value of Stamp C, what is the value of Stamp A?

Q5.On the first day, in the evening, during her workout routine, Nina did sit-ups several times. Each subsequent day, she did one more sit-up than the previous day. It turned out that over the course of a week, she did 196 sit-ups in total. How many sit-ups did Nina do on the first day?

Q6.Elly drew an equilateral triangle and a rectangle with equal perimeters. Find the perimeter of the drawn rectangle in centimeters if its area is 128 cm².

Q7.Find how many different whole numbers can divide into 59, leaving a remainder of 4, while also dividing into 113, leaving a remainder of 3.

Q1.Marcus is a checkers champion. He's played 165 games; his ratio of wins to draws to losses is 8 : 5 : 2. How many games has he won?

Q2.How many times is 9²⁰ × 27⁴⁰ greater than 81 × 3¹⁵⁰?

Q3.Two positive numbers are written on the board. Bill and Greg take turns going to the board, calculating the sum of the two largest numbers written on it, and writing the result on the board. Bill makes the first move. On his second turn, Bill wrote number 9 on the board. What is the sum of all the numbers on the board after Greg's second move?

Q4.Noah sails the same number of nautical miles every day. On Monday, he covered three-quarters of the route from Dover to Calais. On Tuesday, he finished that leg and covered half of the route from Calais to Le Havre. On Wednesday, he finished that leg and covered a third of the route from Le Havre to Brest. The Le Havre–Brest leg is 240 nautical miles. How many nautical miles is the Dover–Calais leg?

Q5.After seven washes, the length, width, and height of the bar of soap were reduced by half. How many more washes will the remaining piece last? (The same amount of soap is used for each wash.)

Q6.Liam and Sophie collected a total of 60 seashells. After Liam gave 20% of his seashells to Sophie, Sophie had twice as many as Liam. How many seashells did Liam have originally?

Q7.How many even four-digit numbers have exactly one digit 1 in their notation?

Q1.A perfect square is a whole number whose square root is also a whole number. For example, 225 is a perfect square since its square root is 15. How many perfect squares are there between 2 and 100 inclusive?

Q2.Amy, Brielle and Clara were baking muffins. Brielle baked 10% less muffins than Amy, but 30% more muffins than Clara. By what percent did Amy make more muffins than Clara?

Q3.Two balls with radii of 3 and 5 were placed on the left side of the balance scale, and one ball with a radius of 8 was placed on the right side. Which side will tip over? (All balls are made entirely of the same material.)

Q4.A rabbit named Coco can finish a pack of dry food in 12 days, a guinea pig named Pippa can finish it in 6 days, and a hamster named Milo can finish it in just 4 days. How many days will one pack of dry food last them if they all eat together?

Q5.Oliver and Henry set off home from the library together. After 30 minutes, when they had covered a third of the way home, Oliver realized he had left his book at the library and ran back to get it. After retrieving the book, he hurried home and arrived 30 minutes earlier than Henry, who continued walking home at his constant speed the whole way. How much faster is Oliver's running speed compared to Henry's walking speed, if Oliver ran at a constant speed the entire way after parting with Henry?

Q6.In an isosceles trapezoid, a diagonal forms a 30° angle with one lateral side and an 80° angle with the base. Find the measure of the angle at the larger base of the trapezoid.

Q7.For what values of a, b, c and d does the equation
5x³ − 32x² + 75x − 71 = a(x−2)³ + b(x−2)² + c(x−2) + d
become an identity?