Math Mastery Challenge

Number 1

100

Simplify: −5 + (−7).

−12

200

The 5th term of the sequence 2, 5, 8, 11, … ?

14

300

Round 4.6789 to 2 decimal places.

4.68

400

Write 0.00045 in standard form.

4.5 × 10⁻⁴

500

Simplify √50.

5√2

Number 2

100

Write the ratio 3 : 12 in its simplest form.

1 : 4

200

On a map, 1 cm = 5 km. What real distance does 8 cm represent?

40 km

300

Increase ₹800 by 15%.

₹920

400

A T-shirt costs ₹600 and is sold for ₹720. Find the profit %.

20%

500

A car travels 240 km in 3 hours. Find its average speed in m/s.

22.2 m/s (≈ 22 m/s)

Algebra 1

100

Evaluate 2x + 3 when x = 5.

13

200

Simplify: 3(a + 4) − 2(a − 1).

a + 14

300

Solve: 5x − 7 = 18.

x = 5

400

Solve: 2x + 3 = x + 9.

x = 6

500

Solve the system: 2x + y = 7 and y - x = 1.

x = 2, y = 3

Algebra 2

100

Factorise: x² + 7x + 10.

(x + 5)(x + 2)

200

Solve: x² − 9 = 0.

x = 3, −3

300

Factorise: 2x² − 8x.

2x(x − 4)

400

Solve: x² + 4x − 21 = 0.

x = 3, −7

500

The product of two consecutive numbers is 132. Form an equation and find the numbers.

x(x + 1) = 132 → x = 11 → numbers = 11, 12

Algebra 3

100

Simplify 3x/6x

½

200

Make x the subject: y = 3x + 5.

x = (y − 5)/3

300

If y ∝ x and y = 12 when x = 4, find y when x = 9.

y = 27

400

(x²)³ x (x)⁴

x¹⁰

500

If a ∝ b² and a = 20 when b = 2, find b when a = 45.

b = 3