Again, another month has passed (already! I know, right?), and here the August problems in our series of monthly competitions! You can download the PDF here. The problems are also repeated below. If you have any questions or if you want clarification on the problems, feel free to email us, message us on Facebook, or leave a comment below.
Good luck, have fun, and send your solutions in to email@example.com! Remember to include your name, school and school year in your email!
(P.S: If you've just joined us, you can check out the rules about the competition.)
(P.P.S: We'll still accept July problem solutions! Submitting will put you in a pretty good position for a prize. We will announce winners as soon as we have enough people)
Q1: Tom's number is 50% larger than Alice's, and Sally's number is 25% larger than Alice's. What percent larger is Tom's number compared to Sally's number?
Q2: What is the area of a rhombus which has diagonals of length 15 cm and 7 cm?
A rhombus is a quadrilateral with four equal sides.
Q3: Lorde, Kimbra and Stan Walker are singing together in a concert. Each song is a solo, a duet or a trio. Lorde sings 4 songs in total, Kimbra sings 6 in total and Stan sings 7 in total. Lorde sings 1 solo piece, Kimbra sings 2, and Stan sings 3 solo pieces. As the finale, they sing one trio song. How many songs do they sing in total?
We will not accept a calculator solution for Q6.