Tawjihi (Palestinian General Secondary Examination), Scientific Stream · Mathematics

Sequences, trigonometry, probability and matrices

42 practice questions, each with the answer and an explanation.

Practise Sequences, trigonometry, probability and matrices now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 42 questions

The first term of an arithmetic sequence is $4$ and the common difference is $3$ . Find the 12th term.
The first term of an arithmetic sequence is $7$ and the common difference is $5$ . Find the 10th term.
The first term of an arithmetic sequence is $2$ and the common difference is $6$ . Find the 15th term.
The first term of an arithmetic sequence is $10$ and the common difference is $4$ . Find the 9th term.
The first term of an arithmetic sequence is $3$ and the common difference is $8$ . Find the 11th term.
The first term of an arithmetic sequence is $5$ and the common difference is $2$ . Find the 20th term.
Find the sum of the first 6 terms of the geometric sequence with first term $3$ and common ratio $2$ .
Find the sum of the first 5 terms of the geometric sequence with first term $2$ and common ratio $3$ .
Find the sum of the first 5 terms of the geometric sequence with first term $5$ and common ratio $2$ .
Find the sum of the first 5 terms of the geometric sequence with first term $1$ and common ratio $4$ .
Find the sum of the first 4 terms of the geometric sequence with first term $4$ and common ratio $3$ .
Find the sum of the first 6 terms of the geometric sequence with first term $6$ and common ratio $2$ .
In a right-angled triangle the hypotenuse is $8$ cm and one angle is $3 0^{\circ}$ . Find the length of the side opposite the $3 0^{\circ}$ angle.
In a right-angled triangle the hypotenuse is $10$ cm and one angle is $4 5^{\circ}$ . Find the length of the side opposite this angle.
In a right-angled triangle the hypotenuse is $12$ cm and one angle is $6 0^{\circ}$ . Find the length of the side opposite this angle.
In a right-angled triangle the hypotenuse is $14$ cm and one angle is $3 0^{\circ}$ . Find the length of the side opposite the $3 0^{\circ}$ angle.
In a right-angled triangle the hypotenuse is $6$ cm and one angle is $6 0^{\circ}$ . Find the length of the side opposite this angle.
In a right-angled triangle the hypotenuse is $8$ cm and one angle is $4 5^{\circ}$ . Find the length of the side opposite this angle.
A committee of 3 students is to be chosen from 7 candidates. In how many ways can this be done?
A committee of 2 students is to be chosen from 8 candidates. In how many ways can this be done?
A committee of 4 students is to be chosen from 9 candidates. In how many ways can this be done?
A committee of 3 students is to be chosen from 10 candidates. In how many ways can this be done?
A committee of 4 students is to be chosen from 6 candidates. In how many ways can this be done?
A committee of 2 students is to be chosen from 12 candidates. In how many ways can this be done?
A bag contains 3 red and 5 blue marbles. Two marbles are taken at random without replacement. Find the probability that both are red.
A bag contains 4 red and 4 blue marbles. Two marbles are taken at random without replacement. Find the probability that both are red.
A bag contains 5 red and 3 blue marbles. Two marbles are taken at random without replacement. Find the probability that both are red.
A bag contains 2 red and 6 blue marbles. Two marbles are taken at random without replacement. Find the probability that both are red.
A bag contains 6 red and 4 blue marbles. Two marbles are taken at random without replacement. Find the probability that both are red.
A bag contains 3 red and 7 blue marbles. Two marbles are taken at random without replacement. Find the probability that both are red.
Solve $2 sin x = 1$ for $0^{\circ} < x < 9 0^{\circ}$ .
Solve $2 cos x = 1$ for $0^{\circ} < x < 9 0^{\circ}$ .
Solve $2 sin x = 1$ for $0^{\circ} < x < 9 0^{\circ}$ .
Solve $tan x = 3$ for $0^{\circ} < x < 9 0^{\circ}$ .
Solve $2 sin x = 3$ for $0^{\circ} < x < 9 0^{\circ}$ .
Solve $2 cos x = 1$ for $0^{\circ} < x < 9 0^{\circ}$ .
Find the determinant of the matrix $(3425)$ .
Find the determinant of the matrix $(2314)$ .
Find the determinant of the matrix $(5231)$ .
Find the determinant of the matrix $(4213)$ .
Find the determinant of the matrix $(6152)$ .
Find the determinant of the matrix $(2534)$ .

Keep practising

More Tawjihi (Palestinian General Secondary Examination), Scientific Stream topics

All Tawjihi (Palestinian General Secondary Examination), Scientific Stream practice →

Ready for the full Tawjihi (Palestinian General Secondary Examination), Scientific Stream test?

Take a mock test Tawjihi (Palestinian General Secondary Examination), Scientific Stream hub