Fill in the missing number so that the statement is true: $12\times(3+2)=12\times3+12\times$ □

Which of the following are integers? A) $\sqrt{4}$ B) $\sqrt{60}$ C) $-\tfrac{2}{5}$ D) 0,0909… E) $\tfrac{1}{6}$

Determine the HCF of 18 and 21 by using prime factors.

Show that $\sqrt[3]{343}=7$

Write down the reciprocal of 4. Check your answer by multiplying the two together.

Round off to TWO decimal places: 29,326

A farmer sells 8% of his herd, which comes to 22 cattle. How many cattle were in the herd?

Calculate EACH of the following, and explain why the answers differ: $(a)(-11)^{2}$ $(b)-11^{2}$

Simplify: $4x^{4}\div2x^{3}$

Solve for x: $6(x-9)=-30$

A row of matchstick pentagons is built so that each new pentagon shares one side with the last. n: 1; 2; 3; 4; 5; 6 Matchsticks: 5; 9; 13; 17; 21; ?

The table below shows inputs x and outputs y: x: 3; 6; 8; 9 y: 6; 10; 13; 10 Does the table represent a function? Give a reason for your answer.

Expand: $-3(2x-9)$

Zinzi buys 3 muffins at the same price each, and a packet of chips for R60. The total comes to R168. Determine the price of one muffin.

Dineo cycles from home to the library and back home. The distance–time graph shows the whole journey.

If $x=8$, evaluate: $\sqrt{2x}$

A washing machine costs R5 645, excluding VAT. Calculate the price INCLUDING VAT at 15%.

A recipe for 2 people needs 50 g of flour. How much flour is needed for 4 people?

I think of a number, triple it, then add 5. The result is −10. What number did I think of?

The marks (out of 50) of 8 learners in a Geography test were: 23; 19; 24; 25; 12; 11; 50; 12.

The histogram shows the ages (in years) of the learners at the Grade 8B camp.

A journalist wants to know how the 15849 residents of Tzaneen feel about a new bypass road. She interviews 63 shoppers at the local mall. Identify the population and the sample in this investigation.

Of the 33 learners in Grade 8C, 15 are in set Cellphone and 15 are in set Tablet; 3 learners are in both sets. How many learners are in NEITHER set?

A spinner has 5 equal sectors, 1 of them blue. The spinner is spun once. Write down the probability that it lands on blue, as (a) a fraction in simplest form, (b) a decimal, and (c) a percentage.

Zinhle is buying a cricket bat from a Bloemfontein boutique. VAT at 15% is added at the till. The shop gives $a10\%$ discount on the marked price. The till-slip total, VAT included, is R683,10. How much is the discount in rand?

Rico is buying a gaming headset from a shop in Polokwane. VAT at 15% is added at the till. Rico and Lesedi will split the till-slip total in the ratio 2 : 5. The marked price is R4 760. The shop gives $a30\%$ discount on the marked price.

Calculate, without using a calculator: $(-6-(-6+(-8)))\times(-7+13\times9)$

The daily minimum temperature (in °C) in Molteno was recorded over 10 days: −4; 3; −5; −5; −4; −2; −5; 2; 0; 0. Every reading is then adjusted by $+1^\circ{}C$. On the next day, the minimum temperature was $-2^\circ{}C$. In total, there are now 11 days. Calculate the mean daily minimum temperature after the adjustment.

△XYZ is similar to △PQR (the triangles are equiangular). $XY=7$ cm, $YZ=2$ cm and $PQ=21$ cm. Calculate the length of QR.

On the grid, △ABC has vertices A(6; 4), B(2; −2) and C(−6; −5), as shown. The triangle is first reflected in the y-axis and then reflected in the line $y=x$. Write down the coordinates of A″, B″ and C″, the final image after both transformations.

Solve for x: $6x+13=25$

Lerato writes: $(3x)^{2}=3x^{2}$. Identify the mistake and write the correct answer.

Is this statement ALWAYS, SOMETIMES or NEVER true? Give a reason. "The product of two odd numbers is odd."

Amir says every quadrilateral and polygon has at least two lines of symmetry. Use the kite to discuss whether he is right, stating its actual number of lines of symmetry.

Mr Nkosi runs the school tuckshop and buys a box of 75 chocolates for R300.

Two complementary angles are (4x + 7)° and (2x + 41)°. Calculate the value of x, and hence the size of each angle.

The figure shows an L-shaped floor plan. The outer width is 16 cm, the outer height is 12 cm, the top arm is 9 cm wide and the right side is 3 cm high.

The angles of a triangle are 36°, 108° and 36°. Classify the triangle (i) by its sides and (ii) by its angles.

PQRS is a quadrilateral with $\hat{P}=103^\circ$, $\hat{R}=86^\circ$ and $\hat{S}=51^\circ$. Calculate, with a reason, the size of x.

The diagram shows △DEF and △XYZ with matching marks. $\hat{E}=\hat{Y}=90^\circ$. Which condition (SSS, SAS, AAS or RHS) proves that △DEF ≡ △XYZ? List the matching pairs.

In a construction, EG bisects ∠$DEF=80^\circ$, and EH bisects ∠DEG. Write down the size of ∠HEG.

Consider a pentagonal prism. Write down the number of faces (F), edges (E) and vertices (V), and verify Euler's formula, $F+V-E=2$.

On the grid, △ABC has vertices A(5; 5), B(3; 2), C(3; 4), as shown.

A pentagon has 5 interior angles. 4 of them are 102°, 101°, 101°, 102°, and the last is x. Calculate the value of x.

A rhombus (not a square) is drawn below. How many lines of symmetry does it have?

In which quadrant does the point (0; −7) lie? (If it lies on an axis, say so instead.)

In the diagram, O is the centre of the circle. Name the type of line segment AB.

Which of these has exactly 0 endpoints: a LINE, a RAY, or a LINE SEGMENT?

Convert: 8 000 cm$^{3}$ to ℓ

The cube in the diagram has edges of 10 cm.

Lerato's ladder is 6,5 m long and reaches 6 m up the wall of a house. How far from the wall is the foot of the ladder?

In the figure, ℓ$_{2}$ ∥ ℓ$_{4}$. The transversals ℓ$_{3}$ and ℓ$_{1}$ cut the parallel lines. The marked angles are 149° and 56°. Calculate, with reasons, the size of h.

An isosceles triangle has an altitude of 12 cm drawn from its apex perpendicular to its base. The base measures 26 cm. Calculate the length marked h, correct to two decimal places.

An isosceles triangle has an altitude of 6 cm drawn from its apex perpendicular to its base. The base measures 22 cm. Calculate the value of each marked unknown, giving a reason for every answer.