Rithvik's Blog 11+

1. Write down the next number in each sequence. (a) 5, 19, 33, 47, _______  (b) 1, 4, 9, 16, _______  (c) 2, 6, 18, 54, _______  (d) 88, 44, 22, 11, _______ 

 Janice has ten pens. 5 of them are blue. 5 of them are red. 8 of them are felt tip pens. Fill in the blanks using the information above: There are between _____________ and ______________ blue felt tip pens.

My train was scheduled to leave at 17:40 and to arrive at 18:20. However, it started five minutes late and the journey then took 42 minutes. At what time did I arrive?

Complete the Triangle of numbers:

The graph below shows the progress of two cars in a race from Leeds to Blackpool and back again. Car A is the bold line. Car B is the dotted line. Answer the 4 questions below the diagram. 1) How far is it from Leeds to Blackpool? 2) Which car was winning at 3.30pm? 3) Which car was winning at 4.15pm? 4) What was the distance between the cars at 4.45pm?

The diagram below shows the one-way cycle paths in a park. Work out the total number of possible routes to go from A to C. From A to D. From A to E.

A large barrel contains 3.25 litres of water. Mel fills 500 ml bottles from the barrel. She then uses the rest of the water to fill as many 150 cups as she can. What is the largest number of cups which Mel can completely fill?

Jack thinks of a number. Jack calls his number n. Jack multiplies his number by 3, and then subtracts 5. He gets the answer 16 Use this information to write down an equation, and then solve it to find n.

A plant is growing at a steady rate of 0.2cm every day. At midday on January 19th the plant was 6cm high. What will the date be when it reaches a height of 11 cm?

 How many different four digit numbers can be made from the digits 2, 2, 2, 3 and 3?

A rectangle has a length of 50mm and has the same area as a square with side 70mm. Calculate the perimeter of the rectangle

1a) Find angle x and y in the following diagram? b) Next, Find Angle b in the diagram below    Here is the backwards 'z' I was talking about in 1b)

1. How many Grey tiles are there in the 8th pattern? 2. There is a pattern with 40 White tiles. Which pattern number is it? 3. A pattern has 100 Grey tiles. How many White tiles are in this pattern?

The area of this regular Hexagon is 48 m². What is the shaded triangle's area? Answer: This is the picture of what I meant in the comment:

There are 2200 litres of water available in a tank. After 550 litres of water have been used, what is the percentage of water that remains? What is the percentage of water used?

During lockdown, George ate 3/20 of all the chocolates and then another 1.2kg. Bob ate 3/5 of the chocolates and the remaining 0.3 kg. What is the total weight they ate?

On planet Plutas, the symbol
has a special meaning in arithmetic. g
h means multiply g by 5, then subtract 2 times h.  (a) Work out 4
3   (b) Work out the value of k so that k
3 = 29  It is possible to use the symbol twice in a                calculation.  (c) Work out 5
(4
3)   (d) Work out the value of t so that (6
t)
4 12

 Two adults and two children wish to cross a river. They make a raft but it will carry only the weight of one adult or two children. What is the minimum number of times the raft must cross the river to get all four people to the other side? (N.B. The raft may not cross the river without at least one person on board.)

This mystery number has 4 digits. Every digit is an odd number. None of the digits is a 9. Every digit in the number is different. The smallest digit is in the thousands place. The greatest digit is in the ones place. This describes two possible numbers. The mystery number is the greater of those two numbers. What is the mystery number?