## This Week’s Maths Wizard Problem…

**Welcome back Maths Wizards! **

**Click on me to reveal this week’s marvellous maths questions for you to puzzle over. Send me your answers and see if you can make it onto our leaderboard.**

1) The Maths Wizard has a large pile of delicious chocolates.

On Monday the Maths Wizard ate half of the chocolates

On Tuesday he ate one third of what remained.

On Wednesday he ate one quarter of the rest.

And on Thursday he ate one fifth of the much diminished remaining pile of delicious chocolates

What fraction of the original pile of delicious chocolates now remain?

2) How many minutes are there from11.11 until 23.33 on the same day?

1 – Which of the following numbers is the largest?

A 5^{2}

B 3^{2}

C 3^{3}

D 2^{4}

E 4^{2}

Answer: C

2 – ABCD x 9 = DCBA

Find the values of A, B, C and D (which are all different whole numbers)

Answer:

A = 1

B = 0

C = 8

D = 9

**Well done if you got the right answers!**

**Congratulations to all our Maths Wizards who have entered the Autumn Term 2019-20 competition. **

Congratulations if you worked out the correct answer this week. Check back on Thursday to see where you are on the new leaderboard!

### Year 4 Leaderboard

### Year 5 leaderboard

### Year 6 Leaderboard

Read all about our Maths Wizard 2018-19 champions here:

maths wizard champions 2018-19

Keep wizarding!

**X, Y and Z are three different whole numbers.**

**X + Y + Z = 127**

**Y – Z = 8**

**X + Y = 88**

**Find the value of X.**

Answer: X = 41

**The Maths Wizard has a square piece of paper which he folds in half to give a rectangle. The new rectangle has a perimeter of 36 cm. ****What is the area of the original square?**

Answer: 144 cm squared

**83 is a prime number. If the Maths Wizard reverses the order of the digits he gets 38 which is not prime. How many two digit primes do give a different prime number when their digits are reversed?**

Answer: 8

**The Maths Wizard has three pears. The mean weight of the three pears is 90 grams. When the Maths Wizard eats the largest pear, the mean weight of the remaining two pears is just 70 grams. What was the weight of the largest pear?**

Answer: 130 grams

S = small pear

M = medium pear

L = large pear

**It takes Marta 15 minutes to mop the kitchen floor and it takes Hannah 30 minutes to mop the same floor.**

**How long would it take them to mop the floor together?**

Answer: 10 minutes

**The Maths Wizard has a square piece of paper with sides 8cm long. He folds the square in half to make a rectangle and then folds the rectangle in half to make another square.**

**What is the perimeter of the new square?**

Answer: 16cm

**Which of the following numbers is the largest?**

A 5^{2}

B 3^{2}

C 3^{3}

D 2^{4}

E 4^{2}

Answer: C

**ABCD x 9 = DCBA**

**Find the values of A, B, C and D (which are all different whole numbers)**

Answer

A = 1

B = 0

C = 8

D = 9