Interactive conceptual questions, diagrams, and step-by-step solutions across Science, Mathematics, Environmental Studies, Social Studies, and English.
Marking pattern: +1.00 positive, 0.00 negative marking.
A simple machine that has two inclined planes placed back-to-back with a sharp edge to cut or split objects is called a:
Which simple machine is best described as an inclined plane wrapped spirally around a central cylinder?
A flag is raised to the top of a school flagpole by pulling downward on a rope looped over a small grooved wheel at the peak. What type of machine makes this possible?
What form of energy is produced by the vibrations of particles in a medium and travels to our ears in the form of waves?
Which powerful form of energy is stored inside the nucleus at the center of an atom and is released during splitting or fusing of atoms?
According to the Law of Conservation of Energy, what happens to energy during any physical or chemical change?
Which type of force is applied by our arms and legs when we pedal a bicycle or lift a heavy school bag?
When a heavy bucket of water is submerged inside a swimming pool, it feels noticeably lighter. Which upward force exerted by liquids causes this effect?
Why is oil or grease applied regularly to the moving metal parts of sewing machines and bicycles?
A claw hammer removing a stubborn nail from a wooden board has the pivot point resting on the board between the handle and the claw. Which class of lever is it?
A metal bottle opener lifts the metal cap off a glass bottle with the cap seated between the pivot tip and the hand. Which class of lever does it represent?
What type of energy is stored inside dry chemical cells (batteries) that powers flashlights and remote controls?
In hydroelectric power stations, fast-flowing water from high dams rushes down to spin huge turbines. Which energy transformation occurs here?
What is the Highest Common Factor (HCF) of 12 and 18?
Find the Lowest Common Multiple (LCM) of 4 and 6.
Which of the following statements about factors and multiples is correct?
The prime factorizations of two numbers are represented in the Venn diagram below. What is the HCF of these two numbers?
Two light beacons flash at regular intervals on a line. Light A flashes every 3 seconds and Light B flashes every 5 seconds. If both flash together at time 0 (zero), after how many seconds will they next flash together?
A teacher has 16 red pens and 24 blue pens. She wants to pack them into identical bags such that each bag has the same number of red pens and the same number of blue pens, with no pens left over. What is the greatest number of bags she can prepare?
What is the LCM of 8, 12, and 16?
What is the HCF of two consecutive natural numbers, such as $14$ and $15$?
Observe the factor tree shown below. What is the value of missing composite number $X$?
What is the least number which when divided by $6$, $9$, and $12$ leaves no remainder in each case?
A rectangular tiled floor is shown below with dimensions $20\text{ cm}$ by $30\text{ cm}$. What is the side length of the largest square tile that can tile this area completely without cutting?
The common division method shown below is used to calculate the HCF of $36$ and $48$. What is the missing divisor $D$?