Bộ đề thi vào 10 theo định hướng tích hợp và phát triển năng lực Tiếng Anh - Vạn Xuân

A. MỘT SỐ DẠNG BÀI TẬP TÍCH HỢP MEMORY STICK
Ivan has a memory stick that stores music and photos. The memory stick has a capacity of 1 GB (1,000
MB). The graph below shows the current disk status of his memory stick.
Question 1: MEMORY STICK
Ivan wants to transfer a photo album of 350 MB onto his memory stick, but there is not enough free space on
the memory stick. While he does not want to delete any existing photos, he is happy to delete up to two music albums.
Ivan’s memory stick has the following size music albums stored on it. Music Album Size Album 1 100 MB Album 2 75 MB Album 3 80 MB Album 4 55 MB Album 5 60 MB Album 6 80 MB Album 7 75 MB Album 8 125 MB
By deleting at most two music albums is it possible for Ivan to have enough space on his memory stick
to add the photo album? Circle “Yes” or “No” and show calculations to support your answer.
Question 2: MEMORY STICK
During the following weeks, Ivan deletes some photos and music, but also adds new files of photos
and music. The new disk status is shown in the table below: Music 550 MB Photos 338 MB Free space. 112MB
His brother gives him a new memory stick with a capacity of 2GB (2,000 MB), which is totally empty.
Ivan transfers the content of his old memory stick onto the new one.
Which one of the following graphs represents his new memory stick’s disk status? Chcle A, B, C or D.

FAULTY PLAYERS
The Electric Company makes two types of electronic equipment: video and audio players. At the end
of the daily production, the players are tested and those with faults are removed and sent for repair.
The following table shows the average number of players of each type that are made per day, and the
average percentage of faulty players per day. Average number of Average percentage of Player type players made per day faulty players per day Video players 2,000 5% Audio players 6,000 3% Question 1: FAULTY PLAYERS
Below are three statements about the daily production at Electric Company. Are the statements correct?
Circle “Yes” or “No” for each statement. Statement Is the statement correct?
One third of the players produced daily are video players. Yes/No
In each batch of 100 video players made, exactly 5 will be faulty. Yes / No
If an audio player is chosen at random from the daily produced
audio players for testing, the probability that it will need to be Yes/No repaired is 0.03.
Question 2: FAULTY PLAYERS
One of the testers makes the following claim:
“On average, there are more video players sent for repair per day compared to the number of audio
players sent for repair per day.”
Decide whether or not the tester’s claim is correct. Give a mathematical argument to support your answer. Question 3: FAULTY PLAYERS
The Tronic Company also makes video and audio players. At the end of the daily production runs, the
Tronic Company’s players are tested and those with faults are removed and sent for repair.
The tables below shows the average number of players of each type that are made per day, and the
average percentage of faulty players per day, for the two companies. Averaae number of video Average percentage of Company players made per day faulty players per day

Electric Company 2000 5% Tronic Company 7000 4% Average number of audio Average percentage of Company players made per day faulty players per day Electric Company 6000 3% Tronic Company 1000 2% Which of the two companies, Electric Company or Tronic Company, has the lower overall percentage of faulty players? Show your calculations using the data shown in the tables above. APARTMENT PURCHASE This is the plan of the apartment that George’s
parents want to purchase from a real estate agency.
Question: APARTMENT PURCHASE
To estimate the total floor area of the apartment (including the terrace and the walls), you can measure
the size of each room, calculate the area of each one and add all the areas together.
However, there is a more efficient method to estimate the total floor area where you only need to measure 4 lengths.
Mark on the plan above the four lengths that are needed to calculate the total floor area of the apartment
Try to mark as many options as possible. Calculate it. ICE-CREAM SHOP
This is the floor plan for Mari’s Ice-cream Shop. She is renovating the shop. The service area is
surrounded by the serving counter.


Note: Each square on the grid represents 0.5 meter X 0.5 meter.
Question 1: ICE-CREAM SHOP
Mari wants to put new edging along the outer edge of the counter. What is the total length of edging she needs? Show your work.
Question 2: ICE-CREAM SHOP
Mari is also going to put new flooring in the shop. What is the total floor space area of the shop,
excluding the service area and serving counter? Show your work.
Question 3: ICE-CREAM SHOP
Mari wants to have sets of tables and four chairs like the one shown above in her shop. The circle
represents the floor space area needed for each set. For customers to have enough room when they are seated, each set (as represented by the circle) should be placed according to the following constraints: • Each set should be placed at least at 0.5 meter away from walls. • Each set should be placed at least at 0.5 meter from other sets. What is the maximum number of sets that Mari can fit into the shaded seating area in her shop? OIL SPILL
An oil tanker at sea struck a rock, making a hole in the oil storage tanks. The tanker was about 65 km
from land. After a number of days the oil had spread, as shown on the map below.