Answer the following (4 mark each) :

Question 14 Marks

Can you work out the steps for any of these designs and weave the pattern?
Write the steps of the pattern in your notebook for each row until it starts repeating.

Answer

For Image 1:
Row 1: 1 under (do not repeat), 3 over, 3 under, 3 over, … (repeat).
Row 2: 3 over, 3 under, 3 over, 3 under, 3 over, … (repeat).
Row 3:2 over (do not repeat), 3 under, 3 over, 3 under, 3 over, … (repeat).
Row 4: 2 under (do not repeat), 3 over, 3 under, 3 over, … (repeat).
Row 5: 3 under, 3 over, 3 under, 3 over, … (repeat).
Row 6:1 over (do not repeat), 3 under, 3 over, 3 under, … (repeat).
For Image 2:
Row 1: 1 under, 3 over, 1 under, 3 over, 1 under, … (repeat).
Row 2: 2 under (do not repeat), 1 over, 3 under, 1 over, 3 under, 1 over, … (repeat).
Row 3: 1 over, 3 under, 1 over, 3 under, 1 over, … (repeat).
Row 4: 2 over (do not repeat), 1 under, 3 over, 1 under, … (repeat).
Row 5: 1 under, 3 over, 1 under, 3 over, 1 under, … (repeat).
Row 6: 2 under (do not repeat), 1 over, 3 under, 1 over, 3 under, … (repeat)

View full question & answer→

Question 24 Marks

Look at the tangram set given at the end of your textbook. Cut out all the shapes. Name them.
(a) How are they same or different from each other?
(b) What do you notice about the angles of each of the shapes?
(c) What do you notice about the sides of each of the shapes?

Answer

The given tangram consists of 7 pieces:
1. 2 large right triangles (the purple and the yellow)
2. 1 medium right triangle (orange)
3. 2 Small right triangles (the blue and the green)
4. 1 square (pink)
5. 1 parallelogram (the dark purple).
(a) They are same:
→ All the shapes are flat (2D).
→ All the shapes are polygons (made of straight lines).
→ Other than the parallelogram, all the shapes have at least one right angle (all the triangles are right triangles, and the square has four right angles).
They are different:
→ Number of sides and angles: The triangle have 3 sides and 3 angles.
→ The square and the parallelogram each have 4 sides and 4 angles.
→ Size: Tangram includes triangle of different sizes i.e., 2 large, 1 medium, 2 small.
(b) All the triangles: Each of the 5 triangles in the tangram set is a right-angled isosceles triangle.
→ The square: All four angles are right angles.
→ The parallelogram: It has two acute angles and two obtuse angles and opposite angles are equal.
(c) All the triangles: Since the triangle is an isosceles right angled triangle, so it has two equal sides and one longer side.
→ The square: All four sides are equal in length.
→ The parallelogram: It has two pairs of equal sides.
→ Opposite sides are equal in length i.e., the two longer sides are equal, and the two shorter sides are equal.

View full question & answer→

Question 34 Marks

Nisha has glued 27 small cubes together to make a large solid cube. She paints the large cube red. How many of the original small cubes have—
(a) three faces painted red?
(b) two faces painted red?
(c) one face painted red?
(d) no faces painted red?

Answer

Nisha has a large solid cube made from 27 small cubes. Since 3 × 3 × 3 = 27, the large cube is a 3 × 3 × 3 cube.
She paints the entire large cube red.
(a) The large solid cube has 8 corners small cubes, and each corner small cube is painted red.
So, 8 small cubes are three faces painted red.
(b) Since a cube has 12 edges or sides, and 1 cube in the middle of each edge is painted red.
So, there are 12 small cubes with two faces painted red.
(c) These are the small cubes located in the center of each face of the large cube. A cube has 6 faces. Each face of the large cube is a 3 × 3 square of small cubes. The center small cube of each 3 × 3 face has only one face exposed to the outside, or painted red. So, there are 6 small cubes with one face red.
(d) For a 3 × 3 × 3 = 27 cube, if we remove the outer layer of cubes, we are left with an inner cube. This means there is only 1 small cube right in the very center of the large cube that has no faces painted red.

View full question & answer→

Question 44 Marks

Match the statements with appropriate shapes. Do some of them describe more than one shape?

Statement	Shape
1. All my angles are right angles, but all my sides are not equal.
2. All my sides are equal, but all my angles are not.
3. My opposite angles are equal, but my sides do not make a right angle.
4. Two pairs of sides are equal, but they do not make a right angle.
5. All my sides make right angles with each other and are equal.
6. My opposite angles are equal and so are my sides.
7. My opposite angles are equal and my sides make right angles.

Answer

Statement	Shape
1. All my angles are right angles, but all my sides are not equal.
2. All my sides are equal, but all my angles are not.
3. My opposite angles are equal, but my sides do not make a right angle.
4. Two pairs of sides are equal, but they do not make a right angle.
5. All my sides make right angles with each other and are equal.
6. My opposite angles are equal and so are my sides.
7. My opposite angles are equal and my sides make right angles.

View full question & answer→

Question 54 Marks

In the given dot grid, draw the following shapes.
(a) An isosceles triangle
(b) A scalene triangle
(c) A pentagon
(d) A hexagon

Answer

self

View full question & answer→

MATHS Answer the following (4 mark each) :

Test yourself on this topic