International School, Hyderabad
Weekend Worksheet – 1 Ch: 1, 2, 3
Subject: Mathematics
Class: X
1. List the first five multiples of 15.
2. Write each of the following as a product of its prime factors:
a. 196
b. 1845
c. 8820
3. Naresh has 6400 square tiles. Is it possible for him to arrange these to make a perfect
square? Justify your answer.
4. Estimate the answer to each of these calculations to the nearest whole number:
a. 9.75 × 4.108
b. 0.0387 ÷ 0.00732
c.
36.4×6.32
9.987
d. √64.25 × 3.0982
5. Add brackets to this statement to make it true: 1 + 14 ÷ 4 − 1 × 2 = 14
6. Remove the brackets and simplify as fully as possible:
a. 2(𝑥 + 3) + 1
b. 6(𝑥 + 3) − 2𝑥
c. 3𝑥 + 2(6𝑥 − 3𝑦)
d. 𝑥 2 (𝑥 + 3) − 2𝑥 3 − (𝑥 − 5)
7. Factorize fully:
a. 𝑥(4 + 3𝑥) − 3(3𝑥 + 4)
b. 4𝑥 2 (𝑥 + 𝑦) − 8𝑥(𝑥 + 𝑦)
1
2
1
2
5
2
8. 𝑠 = (𝑢 + 𝑣)𝑡. Without using a calculator find 𝑠 𝑖𝑓 𝑢 = , 𝑣 = 4 , 𝑡 = 3. Write your
answer as a simplified fraction.
9. If 𝑎 = 3, 𝑏 = 2 𝑎𝑛𝑑 𝑐 = −1, 𝑓𝑖𝑛𝑑 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑎𝑏 − 𝑐 𝑎 + 𝑏 𝑎
10.The diagram shows a triangle and two parallel lines.
a. Write down angles UVP and WVQ in terms of a and c.
Give reasons for your answers.
b. Use your answer to a to prove that the sum of the
interior angles of a triangle is 180 degrees.
c. Write down the exterior angle RQV in terms of c.
d. Use your answers to b and c to show that the exterior angle of a triangle is equal
to the sum of the two opposite angles.