Đề thi vào lớp 6 môn Toán song bằng Cambridge 2021 (do trung tâm Westminster Academy cung cấp)
4/6/2021 2:23:00 PMIf A is 21 smaller than 75, then the value of A is …
Answer:
The perimeter of a rectangle is 114 cm, and its width is 24 cm then its area is … cm2
Answer:
I am thinking of a mystery number. 72 is 6 times as many as this number. What is the number?
Answer:
The mean weight of a group of seven boys is 56 kg. The individual weights (in kg) of six of them are 52, 57, 55, 60, 59 and 55. Find the weight of the seventh boy.
Answer: kg
A hostel has enough food for 125 students for 16 days. How long will the food last if 75 more students join them?
Answer: days
12 men can dig a pond in 8 days. How many men can dig it in 6 days?
Answer: men
The sum of 25 and x is the smallest 5 – digit number. The value of x is …
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The faces of the large rectangular box are painted in orange, then cut into 18 smaller boxes as shown. How many cubes are there that have 2 sides painted? 
Answer: cubes
There is 4.5g of fat in a peanut butter cup. A packet contains 3 cups. Linda eats three packets. How many grams of fat has she eaten?
Answer: g
Mai runs 1 ½ miles a day. How far will she have run in 12 days?
Answer: miles
Which of the following sets of whole numbers has the largest average?
- Multiples of 2 between 1 and 2021
- Multiples of 3 between 1 and 2021
- Multiples of 4 between 1 and 2021
- Multiples of 5 between 1 and 2021
If 10x = 120 and 3y = 15 then 3x + 2y = ...
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The largest whole number x such that 27 + 2x < 500 is …
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George counts the number of boats sailing into a harbour on 5 days. 
How many boats does George count sailing into the harbour altogether?
Answer: boats
Marcel sells ice-creams. One day he keeps a tally of his sales. 
(a) Complete the frequency column.
Answer: Strawberry = ; Toffee =
(b) He puts all of this information into a bar chart. Draw the bar for mint. 
If 300 ≤ 𝑎 ≤ 500 and 700 ≤ 𝑏 ≤ 1000, then the largest value of the quotient a/b is ...
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What is the difference between the average of the 4 even natural numbers from 6 to 13 and the average on the 4 odd natural numbers from 6 to 13?
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If the sum of 5 consecutive numbers is 40, then the product of the 3 smaller numbers is …
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A model of a car is one tenth of the size of the real car. The model measures 42 cm long. What is the length of the real car? Give your answer in centimetres.
Answer: cm
2/9 of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?
Answer: children
Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that Henry had 4/7 of what Gary had left. How much money did Gary have left after shopping?
Answer: $
Find the value of y in the figure below 
Answer:
Determine the value of unknown variables 
Answer: x = ; y =
Fourteen white cubes are put together to form the figure on the right. The complete surface of the figure, including the bottom, is painted red. The figure is then separated into individual cubes. How many of the individual cubes have exactly four red faces? 
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Anna has these three cards. 
Use each card once to make the largest possible number that will divide by 5 exactly.
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Round 83473 to the nearest thousand.
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Round 2.6677 to the nearest thousandth.
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A survey of 250 trees in a small wood showed that 32% were oak trees, 26% were birch trees and the remainder were pine trees. How many pine trees were there?
Answer: pine trees
Fill in the smallest digit to make the number divisible by 3: 1__43, 47__05, __316
Answer: 143; 4705; 316
Write the smallest 4-digit number that is divisible by both 5 and 9.
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Here are 2 triangles on a grid. 
(a) What are the co-ordinates of point C? (…………, ……….. )
Answer: C(; )
(b) Describe the translation that moves triangle A to triangle B.
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Here is a net of a 3D shape. 
What 3D shape does it make?
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Alex thinks of a 3D shape:" My shape has 6 vertices, 5 faces and 9 edges." Write down the name of the 3D shape Alex is thinking of.
Answer:
Layla is writing the prime numbers in order. Write in the prime numbers she has missed. 2, 3, 5, 7, ..., 13, ..., 19, 23.
Answer: ;
Write the next two numbers in the sequence. 1, 4, 9, 16, 25, ..., …
Answer: ;
Neil travelled 36km at a speed of 8km/h. Grant travelled 48km at a speed of 10km/h.
a) Whose journey was quicker?
Answer:
b) By how many minutes?
Answer: minutes
Read the problem and answer question 37 and 38.
Here are two bags. 
Bag A has 1 black bead and 3 white beads. Bag B has 2 white beads and 6 black beads. Isaac takes a bead without looking from each bag in turn.
What is the probability of Isaac taking a black bead from bag A?
- certain
- impossible
- even
- likely
- unlikely
What is the probability of Isaac taking a black bead from bag B?
Mark your answer with an arrow (↓) on the probability line. 
Answer:
Here is part of a train timetable. Both trains take the same time to travel between stations. 
(a) Fill in the missing time for Train B.
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(b) What is the journey time between Longfield and Churchville?
Answer: minutes
A crew is made up of 8 men; the rest are women. 
of the crew are men. How many people are in the crew?
Answer: people
The Royals softball team played 75 games and won 55 of them. What percent of the games did they lose? (round to the nearest tenth)
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A bag contains some red, blue and yellow balls. 32% of the balls are blue and 44% are red. If there are 50 balls in the bag, how many are yellow?
Answer: yellow balls
Find the value of the fraction: 
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The large circle has diameter AC. The two small circles have their centers on AC and just touch at O, the center of the large circle. If each small circle has radius 1, what is the value of the ratio of the area of the shaded region to the area of one of the small circles? 
Answer:
Rotate the shape clockwise through an angle of 90° about vertex A.
Mrs. Phillips has 10 identical cans without labels. She knows that she had 1 can of peas, 5 cans of corn, 1 can of carrots, and 3 cans of beets. She opens one can. What is the probability it is corn?
Answer:
Aunt May wanted to give some children a red packet each for Chinese New Year. If she gives each child $5, she will have $24 left. If she gives each child $8, she will have $6 left. How many children were there?
Answer: children
If 
, what is the value of 𝐶?
Answer:
Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 kilometers away. It takes Amy 40 minutes to arrive at school. Bill arrives 20 minutes after Amy. How much faster (in meters/second) is Amy’s average speed for the entire trip?
Answer: m/s
A bus leaves a station at 8:00 a.m. and averages 30 mi/h. Another bus leaves the same station following the same route two hours after the first and averages 50 mi/h. When will the second bus catch up to the first?
Answer: A.M