Rithvik's Blog 11+

A secret code uses numbers where each digit corresponds to a letter: 1=A, 2=B, 3=C, and so on up to 26=Z. A particular code is a sequence of four numbers: 14, 15, ?, 20. The missing number corresponds to a letter that completes the pattern. What is the missing number and what letter does it represent?

Find three consecutive odd numbers such that the sum of the smallest and the largest is 56. What are these numbers?

  A bakery made a large batch of cupcakes. They sold 2 5 5 2 ​ of them in the morning and 1 4 4 1 ​ of the remaining cupcakes in the afternoon. If they had 180 cupcakes left at the end of the day, how many cupcakes did they make originally?

Five years ago, Maria was three times as old as her son. In five years, she will be twice as old as her son. How old are Maria and her son now?

A jar contains 120 candies. If you take out 5 candies every day, how many days will it take for you to empty the jar?

Emily has 3 times as many marbles as Sarah. If Sarah has 12 marbles, how many marbles does Emily have? Take your time to work it out, and let me know your answer!

Sophia is planning a birthday party for her friend. She decides to buy balloons and party hats. Each balloon costs $0.50, and each party hat costs $1.20. Sophia buys a total of 20 items and spends $18.40 in total. How many balloons and how many party hats did Sophia buy?

A rectangular garden measures 30 meters in length and 20 meters in width. A 2-meter wide path is to be built inside the garden and will run along all four sides. What will be the area of this path?

John has 5 apples. He gives 2 apples to his friend and then buys 6 more apples. How many apples does John have now? Take your time to work out the answer, and let me know if you need any hints!

Amy has a bag containing red, blue, and green marbles only. The probability of picking a red marble is 1/4, and the probability of picking a blue marble is 1/3. What is the probability of picking a green marble?

A sequence is defined as follows: a1 = 2, and an + 1 = 2 * an + 3 for n ≥ 1. What is the value of a5?

A sequence of numbers is formed by multiplying the previous number by 3 and then subtracting 2. The first number in the sequence is 1. What is the fifth number in the sequence?

A train travels from Town A to Town B at a constant speed of 80 kilometres per hour (km/h). On the return journey from Town B to Town A, the train travels at a constant speed of 100 km/h. The total travel time for the round trip is 6 hours. How far is Town A from Town B?

If x = 7 and y = 3, what is the value of 2x + 4y?

A number is called 'special' if it is a three-digit number and its digits are in arithmetic sequence. How many 'special' numbers are there where the middle digit is 5?

A sequence of numbers follows this pattern: each number in the sequence is the previous number multiplied by 2 and then subtracted by 3. If the first number in the sequence is 5, what is the fourth number?