# CTSC Maths Thinker – Week 8

8 - 12 June

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 challenging the Grade 7 learners with a bit of MENTAL MATHS.

1. What are the next two numbers in the sequence? – 1; 6; 9 ; ___ ; ___
2. Complete the number sentence by calculating x : 3 x x-4 = 23
3. Calculate 70% of R150
4. What percentage is 60c of R5,20?
5. Write 1,6 as an improper fraction in the simplest form
6. Mpho travelled by car at an average speed of 60 kilometres per hour for 41/4 hours. Calculate how far she travelled.
7. Consider the following number sequence: 1 ; 4 ; 9; ___ ; 25 ; ___
a. Fill in the missing numbers of the above number sequence
b. Are the numbers in the above number sequence square numbers, prime numbers or cubic numbers
8. Calculate the perimeter of the rectangle if the length is 15 cm and the breadth is 5 cm.
9. A mother is twice as old as her daughter. How old is the daughter if the mother 72 is years old?
10. The product of two prime numbers is 10. What is the difference between the two prime numbers?

### Grade 6

This week we will be exploring PERIMETER, VOLUME AND AREA with the Grade 6 learners. Scroll through the images for the questions and images linked to the questions.

1. The school just got a new pool that is triangular in shape. The length of the 3 sides of the pool is 10 cm, 6 cm and the last side has an unknown length (a). The perimeter of the pool is 24 cm. Find the value of a in centimetres.

2. Look at the rectangle. (See Image) Using a ruler as a measuring tool, give the perimeter of the rectangle in centimetres.

3. This rectangular is made of unit squares. What is the area of the shape? (See Image)

4. This irregular shape is made of unit squares. What is the area of the shape? (See Image)

5. The long jump pit is a rectangle with lengths as stated in the diagram below. Calculate the length of b in metres, if the area of the long jump pit is equal to 10 m2. (See Image)

6. What is the area of the square? (See Image)

7. The rectangles below have the same area. If the perimeter of rectangle no. 2 is 22 centimetres, what are the dimensions of rectangle no. 2? (See Image)

8. Which shape has the greater area? (See Image)

9. Looking at the shape below, give the volume in cubic squares? (See Image)

10. Looking at the shape below, give the volume in cubic squares? (See Image)

### Grade 5

This week we will be exploring PERIMETER VOLUME AND AREA with the Grade 5 learners. Scroll through the images for the questions and images linked to the questions.

PERIMETER
1. The shape shown below has an area of 64 square centimetres. What is the perimeter? (See Image)

2. The length of a rectangular field is 65 m and its width is 35 m. Jane-Claire ran around the field 4 times. How far did she run?

3. Which of the following formulas, or rules, cannot be used to calculate the perimeter of a rectangle?
a. P = l + w + l + w
b. P = 2 (l + w)
c. P = l + w
d. P = 2l + 2w

4. Bafo and Umr built pens for their dogs. Bafo made a pen 12m by 8m and Umr’s pen is 15m by 6m. Who will need more fencing to build the pen?

AREA
1. Area is the distance around a shape.
a. True
b. False

2. Below is a 1cm square grid – Find the area of each shape (remember to write the formula for area as: L x B = cm² (See image)

3. Draw the following shapes
a. 4 squares by 4 squares
b. 6 squares by 5 squares
c. 5 squares by 3 squares plus 4 squares by 2 squares
d. 10 squares by 1 square

VOLUME
Count the unit cubes and find the volume of each rectangular prism (See image)

### Grade 4

This week we will be exploring PERIMETER, VOLUME AND AREA with the Grade 4 learners. Scroll through the images for the questions and images linked to the questions.

PERIMETER
1. If you had to build a fence around your back yard, which measure would you use to find the amount of fencing needed?
a. Circumference
b. Volume
c. Perimeter
d. Area

2. Tasneem is measuring a square tile. One side of the tile is 45cm. What is the perimeter of the tile?

3. Side BC measures 24m. Side CD measure half of BC. What is the perimeter of this shape? (See image)

4. Jamey has a rectangular bedspread that measures 250cm by 150cm. She wants to sew a ribbon around the edge of the bedspread. How much ribbon does she need in meters?

AREA
In the image is a 1cm square grid – Find the area of each shape (remember to write area in cm²)

VOLUME
Count the unit cubes and find the volume of each rectangular prism (See image)