P4/5 ENTRY TEST 2021

The number, ‘Eleven million, eleven thousand, eleven hundred and eleven’ can be written as:

The numbers 1 to 300 are written in columns as follows:

In which column will the number 300 be found?

Ali read from page 54 to page 67 of a book. Suming read from page 95 to page
135. Mary read from page 180 to page 273. How many pages did they read
altogether?

What is the value of 1 + 2 – 3 × 4 ÷ 5 + 6 – 7 × 8 ÷ 9?

Find the value of angle x in the following figure which is not drawn to scale.

How many factors does the number 1990 have?

Water is poured into an empty flask by using a cup. If 3 cups of water are poured
into the flask, the weight of the flask and water is 540g. If 5 cups of water are
poured into the flask, the weight of the flask and water is 600g. Find the weight of
the flask when it is empty.

If v × 2 = w – 3 = x + 4 = y – 5 = z + 6, which of the five numbers, v, w, x, y and z
is the largest?

If ⅔ of A is equal to ⅚ of B, express A as a fraction of B.

How many triangles are there in the figure?

Find the value of ¹⁄₁₀ + ¹⁄₁₀₀ + ¹⁄₁₀₀₀ + ¹⁄₁₀₀₀₀ + …

Find the missing number in the sequence:

1, 2, 3, 6, 11, 20, _____, 68

The ten digits of a credit card number are to be written in the boxes below. The
sum of the digits in any block of 3 boxes is 15. What is the value of a?

The hour hand of a clock face turns clockwise (↻) for 117 hours, starting from 12
o’clock. It then turns anticlockwise (↺) for the next 32 hours and clockwise (↻)
for another 15 hours. After all these turns, at what number will the hour hand
point?

36 pupils took part in a Mathematics Quiz. 25 of them answered the first question,
23 answered the second and 15 answered both. How many pupils answered none
of the two questions?

What is the angle between the minute and hour hands when the time shows half
past nine?

P, Q and R are three sums of money. Q is 20% more than P. R is 10% less than P.
R is x% less than Q. Find the value of x.

In the figure below, the area of each big square is 100 cm². If the total area of the
shaded parts is 460 cm², find the area of each of the four small unshaded squares.

1000 solid cubes of the same size are put together to form a large solid cube. This
large cube is painted and then separated into 1000 cubes again. What is the
number of cubes with none of their faces painted?

Which one of the following statements can be true?

Statement 1: Only one statement on this list is false
Statement 2: Exactly two statements on this list are false.
Statement 3: Exactly three statements on this list are false.
Statement 4: Exactly four statements on this list are false.
Statement 5: All the five statements on this list are false.

How many rectangles, including squares, are there in the figure?

Two men, working at the same rate, took 5 days to lay the bricks of a wall. If the
rate of one man was doubled and that of the other man was halved, how long
would they have taken to finish the wall?

A van, traveling at a constant speed, took 10 hours to travel from town P to town
Q. A lorry, also traveling at a constant speed, took 15 hours to travel from town Q
to town P. The two vehicles started their journeys at the same time. When they
passed each other, they were 20 km from town Q. Find the distance between the
two towns.

Find the missing number in the sequence:
3, 6, 11, 20, 37, ____, 135

3 × 6 × 9 × 12 × 15 × 125 × 625 is divisible by

In the figure below, ⅗ of the smaller circle is shaded and ⅚ of the larger circle is
shaded. Find the ratio of the shaded area of the smaller circle to the shaded area of
the larger circle.

Find the value of

How many ways are there in putting five different books into two different bags
so that each bag contains at least one book?

Find the value of

In the figure below, ABCD is a 1 cm × 1 cm square. E, F, G, H are the mid-points
of its sides. I, J, K, L are the mid-points of the sides of the figure EFGH. M and N
are the mid-points of the sides IJ and LI respectively. Find the area of △KMN.