SRI LANKAN INTERNATIONAL SCHOOL RIYADHFirst semester examination - 2008/2009 Mathematics Admission no: Grade: 6 Duration: 2 hours (This paper has 14 questions on 11 pages) 1. Complete the following grids and find the points scored for each one. 1 4 6 Points scored: 4 6 7 3 8 5 4 7 Points scored: (Total 9 Marks) 2. You have four digits: 7, 4, 6, 5. (i) Consider making multiplications of the form □□ × □□ (a). Which multiplication gives the largest result? ……………………………….. 6 Points scored: (b). Which multiplication gives the smallest result? ……………………………… .. (ii) If another digit (2) is given to you so that now there are five digits (5, 7, 6, 4, 2), where will you place it to get the largest multiplication result of the form □□□ × □□ 1 (iii) If another digit (9) is given to you so that now there are five digits (5, 7, 6, 4, 9), where will you place it to get the smallest multiplication result of the form □□□×□□ (Total 4 marks) 3. (i) Complete the following table by filling in the spaces provided. 2 Shapes Whether it has Rotation symmetry? Yes/No:……….. Whether it has Reflection symmetry? Yes/No:……….. Number of lines of symmetry: …………. Yes/No:……….. Number of lines of symmetry: …………. Yes/No:……….. Number of lines of symmetry: …………. B Order of rotation symmetry:………. Yes/No:……….. E Order of rotation symmetry:………. Yes/No:……….. Order of rotation symmetry:………. 20 : 02 Yes/No:……….. Order of rotation symmetry:………. Yes/No:……….. Number of lines of symmetry: …………. (ii) Two squares have been shaded on the following 4 by 4 grid Shade two more squares so that the resulting shape has rotation symmetry of order 4 3 (To tal 10 Marks) 4. Find the angles labeled with letters 1420 420 4 (Total 8 Marks) 5. Work out the following (i). 688 ÷17 (ii) 792 ÷ 13 (iii) 991 ÷ 17 5 (Total 6 Marks) 6. Imagine that the following table is continued downwards. (i)In which row and which column will each of the following numbers appear? (a) 83 (2) (b)139 (2) (ii) In the table above, which number will be in each of the following (a) 9 th row, 7 th column 6 (2) (b)16 th row, 5 th column (2) (Total 8 Marks) 7. A garden centre sells rectangular ponds (shaded regions) and square slabs to go round the ponds. All the rectangular ponds are 1 metre wide. Each square slab measures 1 metre by 1 metre. (i) 5m 2m (ii) (a) How many slabs are needed for the above ponds? (b)Copy and complete this table for ponds like the above. Length of pond Numbe r of slabs (c) One of these ponds needs 42 slabs. How long is the pond? 1 metre 2 metres 3 metres 4 metres 5 metres 6 metres 7 (d) Which of the following gives how many slabs are needed for a pond measuring n metres in length? (i) n +9 (ii) 6n +2 (iii) 2n +6 (Total 10 Marks) 8. (i) Write each number as the sum of square numbers with as few terms as possible (a) 13 (b) 27 (ii) Work these out (a) 62- 52 (b) 22 + 52 +62 (iii) (a) How many little cubes (1 by 1 by 1) are needed to make a big cube 5 by 5 by 5? 8 (b) Work out 33 + 23 (Total 12 Marks) 9. Construct the following triangle, using a pair of compasses, a ruler and a pencil 9 (Total 6 Marks) 10. (A right angled triangle, an isosceles triangle, an equilateral triangle, a scalene triangle) Choose a word to name each of the following triangles (i) (ii) △ACE △ABC 10 (iii) (iv) △ADE △ABD (v) Name a triangle which has only one line of symmetry (Total 4 Marks) 11. A staircase has 4 steps. Assume that you can climb one step at a time or two steps at a time. (i) Find all the ways of climbing this staircase. (ii) How many different ways are there? (Total 5 Marks) 12. (i) How many little cubes (1 cmX 1cm X 1 cm) are needed to make a big cube of 3cmX 3cm X3cm 11 (ii) Work out 23 + 33 + 42 (iii). Ahmad made a huge cube from small cubes. He broke it up and counted the small cubes he used. He said ‘I counted 2191 cubes, but I may not have been quite accurate.’ How many cubes did he actually use? (Total 7 Marks) 13. (i) List the first six square numbers (ii) Explain the differences between consecutive numbers, by using the above list of square numbers (Total 6 marks) 14. James is packing apples in bags. 12 6 apples go in each bag. He has 129 apples. (i) How many bags can he fill? (ii) How many apples are left over? (Total 5 marks) TOTAL FOR PAPER: 100 MARKS END 13