Which of the following is the correct factorization of the algebraic expression x^2 - 49?
Mathematics
Question · Easy
Tear the corners off any triangle…
Short
In a triangle, two of the interior angles measure 55° and 65°. What is the measure of the third angle?
What is the arithmetic mean (average) of the numbers 12, 16, 20, 24, and 28?
Question · Medium
Solve the equation for x: 5x − 7 = 38.
A rectangular classroom is 12 m long and 7 m wide. What is its perimeter?
Factor it
A bag contains 3 red, 5 blue and 2 green balls of the same size. One ball is taken at random. What is the probability that it is green?
Factor the quadratic trinomial completely: x^2 - 7x + 12.
A right-angled triangle has perpendicular legs of lengths 9 cm and 12 cm. What is the length of the hypotenuse?
If x + y = 14 and x - y = 4, what is the value of the product xy?
Question · Hard
In Euclidean geometry, what is the measure of an angle inscribed in a semicircle?
In a right-angled triangle, the side opposite acute angle θ has length 6 cm and the hypotenuse has length 10 cm. What is the value of sin(θ)?
Simplify the algebraic fraction completely: (x^2 - 9) / (x^2 + 5x + 6) for all defined values of x.
A right circular cylinder has a base radius of 7 cm and a height of 10 cm. Using π = 22/7, what is the volume of the cylinder?
Solve the linear inequality for x: 4x - 5 > 2x + 7.
Find the median of the following ordered dataset: 5, 8, 12, 15, 18, 22.
What is the size of each interior angle of a regular octagon (8 sides)?
Factorise completely: 3x² + 10x + 8.
A vertical flagpole casts a horizontal shadow of length 15 meters on level ground when the angle of elevation of the sun is 30°. Given tan(30°) = 1/sqrt(3) and sqrt(3) ≈ 1.732, what is the height of the flagpole to the nearest tenth of a meter?
The Mississippi River, the main river of North America (قارة أمريكا الشمالية), flows into which body of water?
Geography
Which mountain range runs along the whole western side of South America (قارة أمريكا الجنوبية)?
A ray of light strikes a plane mirror with an angle of incidence of 35°. What is the angle of reflection (انعكاس الضوء)?
Science
Which description fits the image formed by a plane mirror (المرآة المستوية)?
When white light passes through a glass prism, it separates into a band of colours (تشتت الضوء). Which colour is bent (refracted) the most?
What is the standard International System of Units (SI) unit used to measure electric current?
A student leaves an iron nail in damp air, melts some ice, boils some water and dissolves salt in water. Which of these is a chemical change (التغيرات الكيميائية)?
In an ecosystem (المنظومة البيئية), what is the original source of the energy that passes along a food chain?
A lamp works on 12 V and draws a current of 2 A. What is its power (القدرة الكهربائية)?
What is the role of decomposers such as bacteria and fungi in the nutrient cycles (دورات المواد المغذية)?
Why are the lamps and appliances in a house connected in parallel (التوصيل على التوازي) rather than in series?
An electric bell is ringing inside a glass jar. As the air is pumped out of the jar, the sound becomes fainter until it can hardly be heard (انتقال الصوت). What does this show?
Which property of a sound wave determines its pitch (درجة الصوت)?
A student claps in front of a cliff and hears the echo 2 seconds later. If sound travels at 340 m/s, how far away is the cliff (الصدى)?
Which part of the human ear changes sound vibrations into nerve impulses that are sent to the brain (أذن الإنسان)?
A simple closed electrical circuit contains a 12-volt battery connected across a resistor of 4 ohms. According to Ohm's Law (V = I * R), what is the electric current flowing through the circuit?
When dilute hydrochloric acid (HCl) is added to granulated zinc (Zn) metal in a test tube, which gas is released that burns with a characteristic 'pop' sound?
Where does fertilisation (الإخصاب) normally take place in the human female reproductive system?
When a ray of monochromatic light passes obliquely from air into an optically denser glass block, what happens to the ray at the boundary?
How many chromosomes are found in a normal human body cell, and how many in a sperm or egg cell (الوراثة)?
Which continent is occupied almost entirely by a single country (قارة أستراليا)?
What kind of climate is found along the equator in Africa, for example in the Congo Basin (قارة أفريقيا)?
In Arabic grammar (النحو), what is the grammatical parsing (إعراب) of the noun 'الْمَدْرَسَةِ' in the sentence: 'ذَهَبَ الطَّالِبُ إِلَى الْمَدْرَسَةِ'?
Arabic Language
In the Arabic sentence 'كَتَبَ التِّلْمِيذُ الدَّرْسَ', what is the grammatical role and case ending of the word 'الدَّرْسَ'?
In Arabic orthography (قواعد الإملاء), which of the following words begins with Hamzat Wasl (همزة وصل)?
In Arabic vocabulary and reading comprehension, what is the closest synonym (مرادف) for the word 'الصُّمُود'?
In Arabic punctuation (علامات الترقيم), which mark must be placed at the conclusion of a direct interrogative sentence (جملة استفهامية)?
When the particle 'إِنَّ' or one of its sisters (إنّ وأخواتها) enters a nominal sentence (جملة اسمية), how does it affect the case markers of the subject and predicate?
Loading more…