Name the property of operations illustrated by: $p\times(q+r)=p\times{}q+p\times{}r$

Which number sets does $\sqrt{81}$ belong to? Consider natural numbers (ℕ), whole numbers (ℕ$_{0}$), integers (ℤ), rational numbers (ℚ) and irrational numbers (ℚ′).

Determine the HCF of 72 and 64 by using prime factors.

Simplify, leaving the answer as a power of 5: $5^{4}\times5^{3}$

Write as an ordinary number: $6{,}3\times10^{4}$

Write down the reciprocal of 3. Check your answer by multiplying the two together.

Fill in < or > to make the statement true: 0,459 □ 0,022

A spaza shop sold 1160 cold drinks last week. This week sales decrease by 10%. How many cold drinks are sold this week?

Calculate EACH of the following: $(a)(-10)^{2}$ $(b)-10^{2}$

Simplify: $24x^{5}\div4x^{3}$

Solve for x: x/$3=-8$

A row of octagons is built from matchsticks so that each new octagon shares one side with the last. n: 1; 2; 3; 4 Matchsticks: 8; 15; 22; ?

The rule $y=8x-2$ connects x and y in the table below. Determine the TWO missing values. x: 1; 2; 3; 5; ? y: ?; 14; 22; 38; 134

Simplify: $(20x^{5}+36x^{3}-16x^{2})\div4x^{2}$

The length of a rectangle is 6 cm longer than its breadth. The perimeter of the rectangle is 68 cm. Determine the length and the breadth of the rectangle.

Naledi cycles from home to the market and then on to the train station. The distance–time graph shows the whole journey.

The graph shows the water level plotted against minutes. Read off the graph: what is the water level at 1 on the horizontal axis?

If $x=36$, evaluate: $\sqrt{9x}$

Pieter invests R1 900 at 6% simple interest per year for 6 years. How much money will be in the account at the end of the 6 years?

Rangers catch and tag 105 impala in a private game reserve, then release them. Later they catch a second sample of 57 impala and find that 15 of them are tagged. Estimate the total impala population.

The length of a rectangle is 4 cm more than its breadth. The perimeter of the rectangle is 28 cm. Calculate the AREA of the rectangle.

The Tzaneen netball team scored the following numbers of goals in its last 8 matches: 25; 33; 31; 28; 33; 45; 29; 24.

The broken-line graph shows the height (in cm) of a bean plant measured at the end of each week.

Two methods are suggested to test 21 tins from a production batch of 3453 tins for a factory quality check. Method A: The quality inspector only tests the 21 tins packed last, at the end of the shift. Method B: A computer randomly selects 21 tin numbers from the whole batch. Which method is RANDOM sampling? Give a reason.

Of the 34 learners in Grade 8D, 19 are in set Cricket and 20 are in set Hockey; 8 learners are in both sets. How many learners are in NEITHER set?

A spinner is divided into 4 equal sectors, each a different colour: yellow; purple; blue; green. The spinner is spun once. Answer the questions below about the sample space.

The Mokoena family drive to East London at a constant average speed. The average speed is 60 km/h. The trip takes 150 minutes. The car uses 8 ℓ per 100 km. How many litres of petrol does the trip use?

Mr Sithole drives to Kimberley at a constant average speed. The average speed is 80 km/h. The trip takes 180 minutes. The car uses 10 ℓ per 100 km. Petrol costs R21,95 per litre.

Calculate, without using a calculator: $18-(-\tfrac{9}{11})\times(-16)\div(27-\tfrac{3}{11})$

Lwandle recorded the number of minutes spent on homework on each of 7 evenings: 24; 10; 35; 19; 32; 37; 33. On the next evening, Lwandle spent 14 minutes on homework. In total, there are now 8 evenings. Calculate the mean number of minutes spent on homework per evening for all 8 evenings.

△RST is similar to △XYZ (the triangles are equiangular). $RS=4$ cm, $ST=18$ cm and $XY=6$ cm. Calculate the length of YZ.

On the grid, the line segment AB has endpoints A(4; −6) and B(6; −6), as shown. The segment is first reflected in the line $y=x$; a second transformation then maps the result onto the dashed image A″B″, with A landing on A″(6; −4). Describe the second transformation fully. (It is a single reflection, rotation or enlargement.)

Solve for x: $5x-8=3x-2$

Thabo says the hypotenuse of a right triangle with legs 6 cm and 4 cm is 10 cm. Identify the mistake.

Is this statement ALWAYS, SOMETIMES or NEVER true? Give a reason. "The solution of $x+14=11$ is a positive number."

Explain why $1m^{2}$ is NOT equal to 100 cm$^{2}$, and give the correct number of cm$^{2}$ in $1m^{2}$.

The Naidoo family drive to East London, keeping an average speed of 100 km/h for 1 h 30 min.

In the diagram, AB ∥ CD and a transversal cuts both lines. Two angles are marked $5x+27^\circ$ and $3x+45^\circ$.

The figure shows a semicircle with radius 14 cm.

In △XYZ, side ZX is extended beyond X, forming an exterior angle of 118°. $\hat{Y}=76^\circ$. Calculate, with a reason, the size of x (the angle at Z).

The diagram shows quadrilateral PQRS with its equal sides, parallel sides and right angles marked. Name the quadrilateral.

The diagram shows △DEF and △PQR with matching marks. Which condition (SSS, SAS, AAS or RHS) proves that △DEF ≡ △PQR? List the matching pairs.

In a construction, EG bisects ∠$DEF=120^\circ$. Write down the size of ∠GEF.

A decagonal pyramid has 20 edges and 11 vertices. Use Euler's formula, $F+V-E=2$, to determine how many faces it has.

On the grid, △ABC has vertices A(−1; −3), B(−1; −1), C(−5; −2), as shown.

An octagon is drawn below. How many sides does it have?

A regular heptagon is drawn below. How many lines of symmetry does it have?

Write down the coordinates of P and Q, shown on the grid.

The radius of a circular swimming pool is 6 m. Calculate its diameter.

At point M, ray ME and ray MG meet to form an angle. Name this angle using three letters, with the vertex in the middle.

Convert: 370 cm to m

Each edge of the cube in the diagram is 3 cm long.

In △RST, $\hat{S}=90^\circ$, $RT=10$ cm and $RS=8$ cm. Calculate the length of ST.

In the diagram, ℓ$_{3}$ ∥ ℓ$_{4}$. The transversals ℓ$_{1}$ and ℓ$_{2}$ cut the parallel lines. The marked angles are 48° and 111°. Calculate, with reasons, the size of z.

Two right-angled triangles stand back-to-back on a straight base, sharing the altitude drawn perpendicular to the base. The marked hypotenuse measures 25 cm, and the two pieces of the base measure 7 cm and 10 cm. Calculate the length marked v.

In the figure, ℓ$_{2}$ ∥ ℓ$_{1}$, and ℓ$_{3}$ ∥ ℓ$_{4}$. The transversals ℓ$_{5}$ and ℓ$_{6}$ cut the parallel lines. The marked angles are 25°, 104°, 104°, 129° and 46°. Calculate the value of each marked unknown, giving a reason for every answer.