Arithmetic
Which of the following fractions is closest to 1?
7/8
8/7
9/10
10/11
11/10
10/11
Amrita thinks of a number. She doubles it, adds 9, divides her answer by 3 and finally subtracts 1. She obtains the same number she originally thought of. What was Amrita’s number?
6
The angles of a quadrilateral taken in order are x,5x,2x and 4x . Which of the following is the quadrilateral?
kite
parallelogram
rhombus
arrowhead
trapezium
Trapezium
In 2014, in Boston, Massachusetts, Eli Bishop set a world record for the greatest number of claps per minute. He achieved 1020 claps in one minute. How many claps is that per second?
17
Four different positive integers have a product of 110. What is the sum of the four integers?
19
The sum of ten consecutive integers is 5. What is the largest of these integers?
5
The lengths of the sides of an equilateral triangle are given by:
x+ 2y, 5y - x and 3x - y.
Which of the following could not be the values of x and y?
(18,12)
(15,10)
(12,8)
(10,6)
(10,6)
One third of the animals in Jacob's flock are goats, the rest are sheep. There are twelve more sheep than goats. How many animals are there altogether in Jacob's flock?
36
Tegwen has the same number of brothers as she has sisters. Each one of her brothers has 50% more sisters than brothers. How many children are in Tegwen's family?
11
The sum of two numbers a and b is 7 and the difference between them is 2. What is the value of a*b?
45/4
The interior angles of a triangle are
5x + 3y, 3x + 20 and 10y + 30.
where x and y are positive integers.
What is the value of x+ y?
15
A small ink cartridge has enough ink to print 600 pages.
Three small cartridges can print as many pages as two medium cartridges.
Three medium cartridges can print as many pages as two large cartridges.
How many pages can be printed using a large cartridge?
1350 pages
How many integers are greater than 20+18 and also less than 20 * 18?
321
Which integer n satisfies
3/10 < n/20 < 2/5?
3 or 4 or 5 or 6 or 7
7
In the triangles PQR and STU,
∠RPQ = 2 × ∠UST
∠PRQ = 2 × ∠SUT
∠RQP = 1 /5 × ∠UTS
How large is ∠UTS ?
1000
A group of 42 children all play tennis or football, or both sports. The same number play tennis as play just football. Twice as many play both tennis and football as play just tennis. How many of the children play football?`
35
The number "tu" is the two-digit number with "u" units digit and "t" tens digit.
The digits a and b are distinct, and non-zero.
What is the largest possible value of "ab"-"ba"?
72
For certain values of x, the list x, x+6 and x2 contains just two different numbers. How many such values of x are there?
1 or 2 or 3 or 4 or 5
4
PQRS is a square.
Point T lies on PQ so that PT : TQ = 1:2.
Point U lies SR on so that SU : UR = 1: 2.
The perimeter of PTUS is 40 cm.
What is the area of PTUS?
75 cm2
Gill is now 27 and has moved into a new flat. She has four pictures to hang in a horizontal row on a wall which is 4800 mm wide. The pictures are identical in size and are 420 mm wide. Gill hangs the first two pictures so that one is on the extreme left of the wall and one is on the extreme right of the wall. She wants to hang the remaining two pictures so that all four pictures are equally spaced. How far should Gill place the centre of each of the two remaining pictures from a vertical line down the centre of the wall?
730 mm