Diagnostic test 1
Diagnostic test 1 Calculations 1. 8546 – 1999 = 2. 0∙8 × 7 = 3. 7 2 4 9 × 26
4. 1344 ÷ 32
5. 18 7830 6. 80 – 56 ÷ 8 =
12. 3∙16 × 4 =
7. 7 – 3 = 10 20 13. 781 ÷ 4 = 8. 22 + 7 = 3 12 14. 20% of 2400 = 9. 11 – 3 = 3 4
15. 95% of 640 =
10. 1 × 1 = 3 5 11. 5 ÷ 5 = 6
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Number – number and place value 16. Write three million, twenty-four thousand and three in numerals.
17. In the number 5 678 209, write the value of the: a) 6 digit b) 8 digit 18. Round 3∙285 to the nearest: a) whole number b) tenth 19. What number is 9 less than 6? 20. The table shows the populations of some European countries. Country
Population
Albania
2 886 026
Armenia
2 993 900
Cyprus
847 000
Lithuania
2 849 317
a) Write the countries in population order, from most to least.
b) Round the population of Albania to the nearest 100 000.
c) Round the population of Armenia to the nearest 1000.
d) Write the population of Cyprus as a decimal of millions.
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Diagnostic test 1
Number – addition, subtraction, multiplication and division 21. Circle the correct answer. Use estimation to show how you know. a) 9∙85 × 5∙03 = 45∙5455
b) 9∙85 × 5∙03 = 49∙5455
c) 9∙85 × 5∙03 = 495∙455
d) 9∙85 × 5∙03 = 4∙95455
22. Work out 3867 ÷ 12, giving the remainder as a fraction.
23. Choose a number from the box. You do not need to use them all. 1
4
5
6
8
10
a) Find a common factor of 20 and 32. b) Find a common multiple of 2 and 3. c) Find a prime number.
24. Work out the missing digits in the subtraction. 9 –
3 4
3
7
7 0
9
25. Bottles of fizzy water are packed in packs of 24. 16 packs fit into a box. Sam has 5766 bottle to pack. How many full boxes can he fill? boxes
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Number – fractions (including decimals and percentages) 26. Simplify 50 fully. 60
27. Order these fractions, from smallest to largest. 4 5
14 9
2 3
7 12
28. Change 7 to a decimal using division. Use dot notation for recurring decimals. 11
29. Fill in the correct number to make each calculation correct. a) 2∙4 ×
= 2400
b) 35∙89 ÷
= 0∙3589
30. What is the value of the digit 3 in the number 5∙293?
31. A library fits an average of 24 books on a shelf. How many shelves are needed for one thousand books? shelves
32. Write the fractions, decimal and percentage on the number line. A3 5
B 0∙45
C 72%
D 13 20
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Diagnostic test 1
Ratio and proportion 33. A drink is made by diluting 25 ml of lime juice with water. How many drinks can be made from a 1·5-litre bottle of concentrated lime juice? drinks
34. Here are two similar shapes. Find the length of side PQ. A
6·5 cm
11·3 cm
C
S PQ =
Q
9·4 cm
7·2 cm
D
P
B
R
22·6 cm
cm
35. Josie and Erin shared 35 marbles in the ratio 2 : 3. How many more marbles did Erin have? marbles
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Algebra 36. Work out the value of n in this equation. 2n + 5 = 11
n=
37. pq = 24. What is the value of p when q = 8?
38. List three different solutions for 2x – y = 0. a) x =
y=
b) x =
y=
c) x =
y=
39. Fill in the missing numbers in the sequence. 90
15
40. The formula to ďŹ nd the area, A, of a parallelogram is A = bh. What is the area of trapezium b = 9 cm and h = 11 cm?
h
b Area =
cm2
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Diagnostic test 1
Measurement 41. Write the equivalent measurements. a) 1∙7 kg =
g
b) 340 cm =
m
42. 5 miles = 8 km. Change 250 miles into kilometres. km
43. The two fields, A and B, both have an area of 36 m2, but different perimeters. What could their perimeters be? Find two possibilities. A
B
Perimeter of A =
m
Perimeter of B =
m
44. Is it possible to use the formula 1 base x height to find the area of this triangle? 2 7·9 cm 6·9 cm 4·5 cm 45. Calculate the volume of the cuboid. 3 cm 4 cm 10 cm Volume = 46. How much more than 780 ml is 1∙2 litres? Give your answer in litres. litres 21
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Geometry – properties of shapes 47. a) Label the isosceles trapezium to show the parallel sides, the equal sides and the equal angles.
b) Compare an isosceles trapezium with an isosceles triangle. What is the same? What is different?
48. a) Name this 3-D shape.
b) How many faces does it have? c) How many vertices does it have?
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