CTSC Maths Thinker – Week 11

29 Jun - 3 Jul

Grade 4 - 7

Take our daily marvellous Primary School Maths Thinker to sharpen your mind and enhance your skills. Find curriculum-aligned maths questions to help your child explore essential concepts. Daily questions will be posted Monday to Thursday for Grade 4 – 7 respectively. Look out for the solutions to these questions every Friday (all grades). The CTSC Education Team will be standing by should you have any questions – please reach out by posting any questions on our Facebook or Instagram page in the comments section. #CTSCMaths

Grade 7

This week we will be solving some tricky RIDDLES with the Grade 7 learners. Scroll through the images below for the images that link to the questions.

1. You are given 3 positive numbers. You can add these numbers and multiply them together. The result you get will be the same. Which are the numbers?
2. X is an odd number. Take an alphabet away from X and it becomes even. Which is that number?
3. Muzi was asked to paint the number of plates on 100 apartments which means he will have to paint numbers 1 through 100. Can you figure out the number of times he will have to paint the number 8?
4. I am a three-digit number. My second digit is 4 times bigger than the third digit. My first digit is 3 less than my second digit. Who am I?
5. You are given a telephone and asked to multiply all the numbers on the device’s number pad. What will be the answer?
6. Jane-Claire tosses a coin 10 times and it landed in the heads up position all ten times. So what are the possible chances for her to toss it up again and get landed in heads up position?
7. It takes 12 men 12 hours to construct a wall. Then how long will it take for 6 men to complete the same wall?
8. Jamey and Tasneem live in different parts of the city but study in the same high school. Jamey left for school 10 minutes before Tasneem started and they happened to meet at a park. At the time of their meeting, who was closer to the school?
9. Innocent weighs half as much as Thembi and Bafo weigh 3 times the weight of Innocent. Their total weight is 720 kg. Can you figure out the individual weights of each man?
10. Mary has 7 daughters and each of them has a brother. Can you figure out the total number of kids Mary have?
11. X is a three-digit number. The tens digit is 5 more than the ones digit. The hundreds digit is 8 less than the tens digit. What is X?
12. Dumisa was asked how old he was. His reply was like this “In a period of 2 years my age will be twice my age when you asked this five years ago” How old is he?
13. Mpho had two ropes with her and both these ropes need exactly 1 hour in order to get burnt from 1 end to the other end. There is no option to cut the rope. So what is the possibility that she can burn the 2 ropes in just 45 minutes? Solve this.
14. Akash saw some apples in the kitchen. He thought to make apple tart with these apples and 4 apples make are needed to make one apple tart. There were 16 apples in the kitchen. What is the maximum possible number of apple tarts he can make out of them?
15. At the time of shipping, Nadine can place 10 small boxes or 8 large boxes into a carton. A total of 96 boxes were sent in one shipment. The number of small boxes was less than large boxes. What is the total number of cartons she shipped?


Grade 6

This week we will be solving some tricky RIDDLES with the Grade 6 learners. Scroll through the images below for the images that link to the questions.

1. Truth or Square? How many squares can you count below?
2. Give the three whole numbers for A, B and C that allow their SUM and PRODUCTS to be equal as shown below.
     A + B + C = D
     A x B x C = D

3. What can you put between 5 and 6 so that the result is GREATER than 5 but LESS than 6?
4. Which weighs more between 1 kilogram of feathers and 1 000 grams of coal?
5. Sam goes to the shop to buy 1 loaf of bread and 1 can of cool drink and pays R25 in total. The bread costs R1 less than the can of cool drink. What is the cost of each item?
6. Draw 4 straight lines which cross through all 9 dots without lifting your pen off the paper. (See image)
7. You have 4 coins all with tails facing up as shown below. What is the minimum number of moves it would take you to have all the coins with heads facing up if, One move = turning over 3 coins (See image)
8. Using numbers 3, 4, 5, 6, 7 and 8, fill the triangle below so that each of the 3 sides of the triangle adds up to 15. (See image)
9. Move one match stick to make the following equation true (See image)
10. There are 5 parcel boxes with only 1 parcel box occupied. Which number parcel box is the shopping bag placed in? (See image)
11. What is the value of the missing number in the following diagram? (See image)
12. When Elizabeth was 10 years old, her sister Elsa was half her age. If Elsa is 40 today, how old is Elizabeth?
13. Reflective perspective (See image) BUT, you can only move 3 A’s to do so.
14. Fill the remaining circles using only whole numbers so that all the sides of the rectangle add up to 20. You may use any number of times. (See image)
15. Henry is sent to the shop to buy 27 tomatoes. He manages to buy only 25 tomatoes. On his journey back home, all but 9 were mashed and ruined. How many good tomatoes did Henry return home with?
16. How many crates do you need if you have 200 pairs of shoes and each crate can hold 10 shoes?


Grade 5

This week we will be solving some tricky RIDDLES with the Grade 5 learners. Scroll through the images below for the images that link to the questions.

1. You have to finish the maze with a total of 100. Follow the arrows from start to end to find a route. There are 2 possible routes! (See image)
2. Use the two 3 and 4 digit numbers below to complete the grid. (See image)
3. What number do you get when you multiply all of the numbers on a telephone’s number pad? (See image)
4. There are 2 ducks in front of 2 other ducks. There are 2 ducks behind 2 other ducks. There are 2 ducks beside 2 other ducks. How many ducks are there?
5. Joe is turning 11 this year, yet he turned 10 yesterday. How is this possible?
6. Move 3 sticks and make the fish to swim in the opposite direction. (See image)
7. Farmer Brown farms with pigs and was raising them in square pens (See image)
8. Move only three coins to turn the triangle upside down.
9. How many triangles are there? (See image)
10. A brick weighs 1 kg plus half of the brick. What is the weight of the brick?
11. How many legs on the bus not counting the driver?
       a. There are 7 girls on a bus.
       b. Each girl has 7 backpacks.
       c. In each backpack are 7 big cats.
       d. For every big cat there are 7 little cats
12. See image
13. I am an ODD number, if you take away one letter from me, I become even. What number am I?
14. I am an EVEN number. If you take away one letter from me, I become odd. What number am I?


Grade 4

This week we will be solving some tricky RIDDLES with the Grade 4 learners. Scroll through the images below for the images that link to the questions.

1. Place 6 crosses in the squares on the board so that no cross is in the same line (horizontal, vertical or diagonal) of another cross. (See image)

2. Write the digits 1, 2, 3, 4, 5, 6, 7 and 8 so that the numbers in the pentagon are equal to the two numbers in the triangles added together. Each digit can only be used once. (See image)

3. In a magic square, each row, column and diagonal add up to the same total. Can you fill in the missing numbers in these magic squares? (See image)

4. Can you solve this? (See image)

5. Can you solve this? (See image)

6. What is missing? (See image)

7. What is missing? (See image)

8. Can you solve this? (See image)

9. Fill in the numbers 2 to 8 so that each line adds up to 15. Each number can only be used once. (See image)

10. For each pyramid try to figure out which number comes on top. (See image)