KS3 Questions Problem Solving. Level 4 to 5.

Transcription

1 KS3 Questions Problem Solving. Level 4 to A sack contains 60 kilograms of potatoes. 1 15% are bad and of the remainder are too small for sale. 3 What weight of potatoes can be sold? This is part of Sari s electricity bill. Answer... kg OHM Electricity Company Present reading Last reading 7466 units 6942 units Each unit costs 4.5p How much does she pay? Answer...

2 3. (a) John, Paul and Mark go on holiday for 6 days. Altogether they spend 800. John spends 350. Paul spends 40 each day. On average how much does Mark spend each day? Answer... (4) (b) On the day he returns from his holiday John spends 3 hours waiting at the airport. What percentage of the day does John spend waiting at the airport? Answer... % (3) (Total 7 marks) 4. A supermarket sells 500 kg of potatoes. 3 of the potatoes are sold in 5 kg bags. 10 How many 5 kg bags of potatoes does the supermarket sell? Answer... bags

3 5. A school band is going on a concert tour to Paris. (a) The concert programme is translated into French at a cost of 1.80 The programme has 45 words. Calculate the cost per word of the translation... Answer pence (2) (b) The band is performing the concert at three places. Posters are printed for the concerts. Number of small posters Number of large posters 1st concert nd concert rd concert 0 10 Small posters cost 8p each. Large posters cost 12p each. (i) Calculate the total cost of printing the posters. Answer (3) (ii) Write down an expression for the cost in pence of x small posters and y large posters. Answer pence (2) (Total 7 marks)

4 6. In all of the following diagrams numbers are increased by two equal steps. For example: Find a, b and c. +a +a b +c +c 17 b Answer a =..., b =..., c = (Total 3 marks)

5 Level 6 7. (a) Two squares of side 4 cm are removed from a square of side 12 cm as shown. 4 cm 4 cm 12 cm Not to scale Work out the shaded area. Answer (3) (b) Two squares of side x cm are removed from a square of side 3x cm as shown. x cm 3 x cm Not to scale x cm Work out the fraction of the large square which remains. Give your answer in its simplest form. You must show your working..... Answer (3) (Total 6 marks)

6 Level 6 to Petra has 6 metres of ribbon. 4 2 She makes 6 blouses and uses of a metre of ribbon on each blouse. 5 How much ribbon does she have left? Answer... m 9. Sweets are sold in two sizes of packet. The large packet holds 850 grams of sweets and costs The small packet holds 280 grams of sweets and costs 75 pence. Which packet of sweets is the better value for money? You must show all your working.

7 10. Jenny is organising a barbecue.dews There are 30 bread rolls in a pack. There are 16 sausages in a pack. She needs exactly the same number of bread rolls as sausages. What is the smallest number of each pack she must buy? You must show all your working. 11. The total for the three numbers along each side of the triangle is 17. Answer... packs of rolls and... packs of sausages (Total 3 marks) 2y 1 8 z 2 x Find the values of x, y and z. Answer x =.. y =... z =...

8 12. A cylinder contains 17 litres of water. The radius of the cylinder is 15 cm. Calculate the height of the water in the cylinder. 13. Calculate the area of this shape. 3 cm Answer... cm Not to scale 9 cm 3 cm 7 cm You must show all your working. Answer... cm 2 (Total 3 marks)

9 14. The diagram shows a beam of uniform cross-section and length 4 metres. 6 cm 2 cm Not to scale 10 cm 3 cm 3 cm 2 cm 6 cm 4 cm Calculate the volume of the beam. Give your answer in cubic centimetres. 15. A bag contains 200 coloured discs. The discs are either red, blue or yellow. There are 86 red discs in the bag. The probability that a blue disc is chosen from the bag is 0.22 Calculate the number of yellow discs in the bag. Answer... cm 3 (Total 5 marks) Answer...