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Question 66

Write the number of lines of symmetry in each letter of word `SYMMETRY`.

Write the following as decimal:

$4\frac{1}{2}$

Which number line represents the solution of (-2) + (-3) - (-7)?

(a) Candy bars were distributed equally among students of a class. The number of candy bars each student got was one-eighth of the number of students. Had the number of students been half, each student would have got 16 candy bars. What is the total number of candy bars that were distributed?

(b) Reduce to simplest form.

(i) $\frac{6}{3}+\left(\frac{-1}{6}\right)$

(ii) $\frac{-3}{2}-\frac{3}{8}$

(iii) $\frac{-9}{6}+\left(\frac{-3}{5}\right)$

(iv) $\frac{-1}{3}-\left(\frac{-3}{5}\right)$

[4 MARKS]

Choose an alphabet which is an example of reflection symmetry.

The number of lines of symmetry for the given figure is ______

There are 5 tiles in a row. Jack arranges colorful shapes and symbols on the tiles in such a way that they form the series as shown in the image below.





Identify the pattern, and find how Jack will arrange the symbols in the fifth tile.

What is the value of $\frac{-6}{2}$?

Which of the following option(s) satisfy the inequality $x>-6?$

Question 8

Write the correct answer from the given four options.

A square board has an area of 144 sq units. How long is each side of the board?

a) 11 units

b) 12 units

c) 13 units

d) 14 units

Identify the picture and its one-third part.

A large pizza has a circumference of 88 inches. What will be the smallest area of the box holding the pizza? [4 MARKS]

Shameem rides of the distance of his school on his bicycle and travels by bus. He walks the rest of the distance.

(i) How much of the total distance does he go by bicycle and bus?

(ii) How much does he walk?

What is a factor of a number? [1 MARK]

Which of the following is the largest two-digit multiple of 19?

Which of the following should be the THIRD sentence after rearrangement?

The inner perimeter of a rectangular room is 250 m. Its height is 6 m. What is the amount to be spent to paint the walls of the room at the rate of Rs 12/- per square metre. (inclusive of doors and windows)

Tom wants to paint his study room. Four walls of the room measures $12$ ft by $11$ ft, and base measures $11$ ft by $9$ ft. Find the cost of paint to paint for all the four walls and base if cost of paint is $\$3\text{sq. ft}$.

With reference to the figure below, consider the two statements:

Statement 1: The points A, B, and C will lie on a straight line if x + y = ${180}^{\circ }$.

Statement 2: The angle on a straight line is ${180}^{\circ }$.

Question 5(d)

On a squared paper, sketch the hexagon with exactly with two lines of symmetry.

A spaceship landed near Alex's house. Alex saw that the aliens who walked out had 3 legs each. He counted a total of 24 legs. If ${}^{\prime }{x}^{\prime }$ is the number of aliens, find the equation for the number of legs of the aliens.

Add the following algebraic expressions:

$32a^2+21ab+16b^2$, $5a^2+2ab+3b^2$ and $4ab+b^2$

Try the following problems.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

If the length and breadth of a rectangle are $(x^2-x+2)$ cm and $(x^2+x-2)$ cm respectively, find the area of the rectangle.

A normal systolic blood pressure is (i)___ and a normal diastolic blood pressure number is (ii)_____.

Find the product using suitable properties.

(a) 738 × 103 (b) 854 × 102

(c) 258 × 1008 (d) 1005 × 168

The points P, Q R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S

(a) Show the fractions $\frac{4}{4},\frac{2}{4},\frac{3}{4}$ on a number line and simplify.
(b) A 9.85m long rope is divided into 5 equal parts. Find the length of each part. [4 MARKS]

8.4 $÷$ _____ = 2.1

1. 17

Just out of curiousity and to pass some time, Jack looked for the population of three nearby towns.

The town which has the highest population growth from 1975 to 2015 is _________.