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𝑓(𝑥) is a quadratic function in 𝑥.
The graph of 𝑦 = 𝑓(𝑥) has 𝑦-intercept (0, −1) and its turning point is located at (−1, −2).
Which of the following is an expression for 𝑓(𝑥)?
Shop A always sells books at 80% the price of books in Shop B. In their summer sale, Shop B reduces the price of a book by 30%.
The price of a book in Shop A is now reduced by £3.
What is the original price of the book in Shop B?
Groups A and B both consist of 10 people. The mean age of Group A is a and the mean age of Group B is a2. One person of age a from Group A is exchanged with one person of age a2 from Group B. The mean age of Group B is now four times that of Group A.
Find the value of a, given that a > 0.
How many solutions does the equation sin(cos(𝑥)) = 0 have, if 0 ≤ 𝑥 ≤ 2π?
Which of the following statements about squares of positive integers is false?
Which of the following expressions is largest for 0 < 𝑥 < 1?
A cube with sides of length 9cm is divided into smaller cubes, each of which has sides of length 3cm.
By what factor has the total surface area increased?
One side of a square has length 𝑥 and its diagonal has length 𝑥 + 2.
What is the area of the square?
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