Which of the following numbers is an integer? $\tfrac{1}{2},\; 5\tfrac{1}{2},\; -8,\; 0.6$

Three buckets hold 16 L, 12 L and 20 L. What is the largest container size that fills each bucket an exact number of times?

Round $2,486,712$ to the nearest hundred thousand.

A litre of petrol costs KSh 199.08. Write this price to 2 significant figures.

Which expression is equivalent to $p^2$?

For the line $4x-3y-7=0$, what is the gradient?

Joel takes at least 20 minutes to walk to school. Which inequality represents his time $x$ (in minutes)?

Otieno and Karisa’s purchases are shown by $\begin{pmatrix}6&5&13\\12&3&4\end{pmatrix}$. What is the order of this matrix?

A tube leans against a wall. Its foot is 3.6 m from the wall and its top is 2.7 m up the wall. Which gives the tube’s length?

A semi-circular tablecloth has a diameter of 42 cm. What ribbon length is needed to bind its outer edge? (Use $\pi=\tfrac{22}{7}$)

A dairy sells yoghurt in cylindrical cups (diameter 7 cm, height 10 cm). If 385 litres are sold, how many cups are used?

Nyaboke walks to market at 4 km/h, taking 30 minutes. She returns in 40 minutes. What is her speed on the return journey?

Mueni measures a liquid at $48^\circ\text{C}$. Which operation converts this to Kelvin?

A shop offers 10% discount. Ahmed pays sh 720 for a shirt. Which calculation finds the marked price?

The base of a litter bin is a regular pentagon. What is the size of each interior angle?

A pole stands vertically on flat ground. What angle does it make with the ground?

Which of the following correctly gives the coordinates of point $R$ at $(-3,-2)$?

On a map, 70 m is shown as 2.8 cm. What is the scale?

A 3.2 m ladder makes a $30^\circ$ angle with a vertical wall. How far is its foot from the wall?

A vertical line makes what angle with a horizontal line?

In $18,357,248$, how many times is the total value of digit 3 greater than the total value of digit 2?

A fish is 5 m below the surface and a bird is 12 m above it. What is the vertical distance between them, in metres?

A school uses $\tfrac{1}{6}$ of rice on Day 1, then $\tfrac{1}{5}$ of the remainder on Day 2. What fraction of the original rice is left to share equally over the last 4 days?

Given that each of the last 4 days uses 37.5 kg, find the original mass of rice bought (in kg).

A square wall is 15 m by 15 m. Square tiles are 50 cm by 50 cm. How many tiles are needed?

Katana’s farm needs 72 man-days to weed. How many men are needed to finish in 8 days?

Amina shares money among three children: Fatuma $=x$, Mohammed $=3x$, Hussein $=x+7000$. Write a simplified expression for the total.

Mary bought 3 packets of milk and 4 loaves for sh 570. Jane bought 5 packets of milk and 1 loaf for sh 440. What is the cost of a loaf of bread (sh)?

From the same information, what is the cost of one packet of milk (sh)?

A trader sells $g$ goats weekly: more than 8 but less than or equal to 15. Write this as a compound inequality.

Kamau runs 72.8 hectometres in a 10,000 m race before stopping. How many metres had he covered?

How many decametres remained for Kamau to complete the race?

A pool floor has a rectangle 14 m by 10 m and a semicircle (diameter 14 m). Find the total area in m$^2$.

A cylindrical tank (diameter 5.6 m) holds water to 2.5 m. After transfer to a 5.5 m by 4 m tank, what is the new water height (m)?

A half marathon is 21 km. Peter finishes in 1 h 40 min. What is his average speed in m/s?

Sam earns 2% commission per car. He sells 6 cars at sh 890,000 each. Calculate his commission (sh).

A card is picked at random from numbers 10 to 20 inclusive. What is the probability that it is a prime number?

From the same set (10 to 20 inclusive), what is the probability that the number is even?