LATYMER UPPER SCHOOL 11 PLUS MATHS SAMPLE PAPER – 1

Time allowed: 60 minutes
Instructions
 Calculators are NOT allowed. You may use a ruler.
 Attempt all questions.
 If you cannot do a question, go on to the next one and try again later on.
 Do not ask the teacher to explain a question to you.
 If you finish before the end, check your answers and then wait quietly in your place.
 If you do not finish, or if you cannot understand all the questions, do not worry.

Section A
 You should spend about 20 minutes on this section.
 Each question is provided with FIVE possible answers, only ONE answer is correct.
 Write the correct answer in the box on the right, if you make a mistake, rub it out and try again.
Section B
 You should spend about 40 minutes on this section
 Write your answers and working in the spaces provided. DO NOT use extra paper.

Section A

1. What is 148 + 476?

2. Which of the following gives the correct number for *?

3. What is 45 × 160?

4.  Work out three-sevenths of 91

5. What is 423 ÷ 9 ?

6. What number is halfway between 4½ and 7½ ?

7.  Work out 1+ 2 × 3 + 4 × 5 + 6

8.  Three-quarters of a number is 36 less than the number. What’s the number?

9. Which of the following is the largest?

10. Find the sum of all the prime numbers between 30 and 50

11. What time is 1 hour 32 minutes before 7:19 pm?

12. What fraction of this rectangle is shaded?

13. I buy 3 chocolate bars for 65 pence each and 5 bags of crisps for 55p each. How
much change do I get from a £5 note?

14. Two whole numbers multiply together to make 180. What is the smallest possible
difference between the two numbers?

15.  Work out 80% of £535.

16. Toy cars cost 84p each or £2.20 for a box of three. What’s the largest number of cars I can buy with £15?

17. I have lots of 5p, 8p and 11p stamps. What’s the biggest amount I cannot make exactly with my stamps?

18. What is the area of the shaded triangle below? (Diagram not to scale)

19. How many different ways are there of paying exactly 20p using only 1p and 2p coins?

20. A woman’s age is 70 years, 70 months, 70 weeks and 70 days. How old will she be on her next birthday?

Section B

21. Fill in the missing numbers in the following sequences:

a)   10,    13,     16,      ———— ,      ————,      25,         28

b)    29,     22,     15,      8,    ———— ,      ———— ,      -13,      -20

c)  1 ,    -2 ,     -8 ,   ————  ,  ————   ,   64 ,     -128

22.  Subtract 235 from 412.

c) What is the remainder when 531 is divided by 17?

23. Here are two ways of making a total of 12 from three different whole numbers:

      2 + 3 + 7 =12                            3 + 4 + 5 = 12

a) Write down all the ways of making a total of 12 using three different whole numbers (don’t count 2 + 3 + 7 as different from 3 + 7 + 2).

b) How many ways are there of making a total of 15 using three different whole numbers?

24. 
The 2 by 3 rectangle above contains eight squares: six 1 by 1 squares and two 2x2 squares.

a) How many squares are in this 4 by 5 rectangle?

b) Find a rectangle which contains exactly 20 squares.