Mathematics
Intermediate Mathematical Challenge
2023
24

24

A rectangle PQRS has side-lengths a and b, with a < b. The rectangle PTUV has side-lengths c and d, with c < d. Also, a < d and c < b, as shown. The sides RS and TU cross at X.

Which of these conditions guarantees that Q, X and V lie on a straight line?

‍

A. a/b+c/d = 1

B. a/c+b/d = 1

C. a/d+c/b = 1

D. a/c+d/b = 1

E. c/a+b/d = 1

‍

Answer

C. a/d+c/b = 1

SOLUTIOn
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FAQ

Find quick answers to common questions about our lessons, pricing, scheduling, and how Exact Science can help your child excel.
Where do you hold your classes?
We hold our classes online or on-site on Saturdays at our branch in Pimlico Academy, London.
You can find our timetable here.
What do you need to start learning online?
For lessons you only need a computer or phone with a microphone, camera and Internet access. Wherever you are - in London, Nottingham, New York or Bali - online lessons will be at hand.
When can I take the trial lesson?
You can get acquainted with the school at any time convenient for you. To do this, just leave a request and sign up for a lesson.
What should I expect from the trial lesson?
The trial lesson is a 30-minute online session designed to get a sense of how your child approaches mathematical thinking and problem solving. (In practice, it often runs a bit longer if the student is engaged!)

We typically explore a range of fun and challenging problems drawn from competitions. We adapt the difficulty based on how the student responds, aiming to make it both accessible and stimulating.

After the session, we’ll have a quick conversation with the parent to share observations and suggest a personalised path forward.
I can't attend class, what should I do?
It is OK, it happens! Students have the opportunity to cancel a lesson up to 8 hours before the scheduled time without loss of payment. So you can reschedule it for a convenient time, and the teacher will have the opportunity to
I don't have much free time, will I have time to study?
Learning can take place at your own pace. We will select a convenient schedule and at any time we will help you change the schedule, take a break or adjust the program.
How long is one lesson?
All classes last 1 hour.

What our students and parents say about learning with us

"Olympiad Maths Lessons helped me a lot to get the Gold medal in Junior Maths Challenge"
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Warwick University
"Great courses, which thoroughly explained topics beyond the capability of the GCSE answer sheet. Thanks so much."
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Prepare for the Primary Maths Challenge
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Python with Turtle

Contact us

Email

george@exactscience.co
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Mon-Sun from 8am to 9pm
+44 77 07 547 144

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