GEP-MATHS-20250419_在线真题试卷与模拟练习_GEP-MATHS-20250419

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Out of the 100 students, 60 students like vanilla ice-cream.

35 students like chocolate ice-cream

and 20 students like vanilla and chocolate ice-cream.

How many students

a) like vanilla ice-cream but not chocolate ice-cream?

b) like chocolate ice-cream only?

c) do not like either vanilla or chocolate ice-cream?

Emma has 4 pink socks, 6 black socks, 8 orange socks and 10 white socks in the drawer.

She reaches into the drawer in the dark and pulls out socks.
What is the number of socks Emma must take to ensure that

a) she will get 3 socks with different color?

b) 6 socks with the same color ?

A pack of 52 cards contains four designs and each design has 13 cards.
Calvin draws the card one at a time without looking at it.
What is the minimum number of cards that Calvin must draw to ensure that at least
a) 4 cards have different designs?
b) 4 cards have the same designs?

Tony saves $$3 a day during weekdays and $$6 a day on Saturday and Sunday.
He started saving on Friday, 8 June.
On which day of the week would he save $69?

How many straight segments are there in the figure altogether?

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Alice wants to travel from Town A to D, passing each town at most once.

How many different ways are possible?

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There are 40 letters arranged in a certain order.
The first 20 letters are shown below.

AAAABAABCAABCDAABCDE ......
How many letters "A" are there in the pattern?

September has 30 days.
There are 5 Sunday and 4 Saturday in September.
What day of week is 15th September?

September has 30 days.

if there are 4 Sunday and 5 Saturday in September,
what is the 15th Day of September?

September has 30 days.

if there are 5 Sunday and 5 Saturday in September,
what is the 15th Day of September?

August has 31 days.

if there are 5 Friday, 5 Saturday, 5 Sunday and in August,
what is the 15th Day of August?

Postman Tom has a parcel to deliver to Mr Thomson's house.

How many ways are there for him to do so?

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Mr Johnson is going to Town B, but first he has to stop by Town A.
How many ways are there for him to do so if use movements of →, ↑only.

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How many different ways can Mr Bean travels from A to B passing through point P in the route map shown below?

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The picture below shows bus routes and ticket prices between 6 towns.
What is the least amount of money to pay for the tickets to get from town A to town B?

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45 students take part in the swimming game.
There are 33 students registered in the freestyle swimming event
and 23 students registered in the backstroke swimming event.
How many students will take part in both events?

At least how many numbers must be picked from 1,2,3,4,..., 10
so that the difference between two of the numbers is 6?

How many straight segments are there in the figure altogether?
(e.g. BD is a straight segment. DJ is a straight segment. CDJ is not a straight segment.)

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There are 77 letters covered by a rectangular card in the following pattern.
How many more letters "T" than letters "A" are covered by the card?

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How many shortest routes are there to go from A to B while passing through C?
Assume only downward movements are allowed.

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