Mathematics 0580/11 October/November 2022: question paper and mark scheme

Question

Write the number two million eight hundred and forty thousand three hundred and twenty-seven in figures. …… [1]

Question

Write down the mathematical name of this type of angle. …… [1]

Question

(a) Measure the length of this line in millimetres. …… mm [1] (b) Draw a line perpendicular to this line. [1]

Question

In triangle PQR, PR = 5 cm and QR = 4 cm. Using a ruler and compasses only, construct triangle PQR. Leave in your construction arcs. The side PQ has been drawn for you. P Q [2]

Question

Write down a common multiple of 18 and 24. …… [1]

Question

Write 32 cm as a fraction of 2 m. Give your answer in its simplest form. …… [2]

Question

The temperature, in °C, is recorded at the same time in six cities. London Helsinki Oslo Paris Madrid Berlin 6 –2 –5 7 9 2 (a) Which city has the coldest temperature? …… [1] (b) What is the difference in temperature between Helsinki and Paris? …… °C [1]

Question

x° 71° NOT TO SCALE 55° The diagram shows two straight lines intersecting two parallel lines. Find the value of x. x = …… [2]

Question

Divide $200 in the ratio 7 : 3. $……, $…… [2]

Question

The birth weights, in kg, of 11 babies are recorded. 2.1 1.6 2.7 4.2 4.0 2.2 3.1 1.7 2.6 3.3 3.7 (a) Complete the stem-and-leaf diagram to show this information. 1 2 3 4 Key: 2 1 represents 2.1 kg [2] (b) Find the median. …… kg [1]

Question

Victoria records the colour of each of 240 cars leaving a car park. Some of this information is shown in the pie chart. Blue 27° Green (a) Show that 60 cars are blue. [1] (b) The rest of the cars are either red or white. 110 cars are red. Complete the pie chart to show this information. [2]

Question

The price of a computer is $520. This price is reduced by 15% in a sale. Work out the sale price. $ …… [2] 1 5

Question

Without using a calculator, work out + . 3 6 You must show all your working and give your answer as a mixed number in its simplest form. …… [2]

Question

Mario tests new cars. The probability that a car is faulty is 0.04 . (a) Find the probability that a car is not faulty. …… [1] (b) In one week Mario tests 850 cars. Find the number of cars that are expected to be faulty. …… [2]

Question

A café sells 330 sandwiches. 11 This is of the sandwiches they make. 14 Work out the number of sandwiches the café makes. …… [2] 5

Question

(a) Complete the table of values for y = . x x –5 –4 –2.5 –2 –1 1 2 2.5 4 5 y –1 –2 –2.5 –5 5 2.5 2 1 [2] 5 (b) On the grid, draw the graph of y = for - 5 G x G - 1 and 1 G x G 5. x y 5 4 3 2 1 –5 –4 –3 –2 –1 0 1 2 3 4 5 x –1 –2 –3 –4 –5 [4]

Question

(a) 3, 9, 27, 81, … Write down the term to term rule for this sequence. …… [1] (b) 13, 17, 21, 25, … Find the nth term of this sequence. …… [2]

Question

P Q a e d b c f g The Venn diagram shows the elements of the sets , P and Q. Complete the statements. (a) P = { …… } [1] (b) n (P , Q) = …… [1]

Question

The bearing of A from B is 137°. Find the bearing of B from A. …… [2]

Question

(a) Write 0.00273 in standard form. …… [1] (b) Sam has to answer this question. Calculate 9306 # 4532 . Give your answer in standard form correct to 3 significant figures. Sam writes 42.1 # 10 6 as his answer to this question. What two errors has Sam made? Error 1 …… Error 2 …… [2]

Question

A NOT TO D SCALE 51 cm 6 cm B C E F 4 cm Triangle ABC is mathematically similar to triangle DEF. Find BC. BC = …… cm [2]

Question

x cm NOT TO SCALE 17.5 cm 48° The diagram shows a right-angled triangle. Show that the value of x is 15.8, correct to 3 significant figures. [3]

Question

Natalie buys 4 tomato plants and 3 pepper plants for $9.35 . Samir buys 2 tomato plants and 11 pepper plants for $16.55 . Write down a pair of simultaneous equations and solve them to find the cost of one tomato plant and the cost of one pepper plant. You must show all your working. Tomato plant $ …… Pepper plant $ …… [5]