1) Can you arrive at a total of 37 by using five fives? Any maths operator is allowed and you can group the fives as you like (eg 555 5 5). There is more than one solution

2) Replace the question marks with any of + - * / to make the equation below correct:

(6?2) ? (3?4) ?
(6?2) = 25

3) Each of the letters S – Z has one of the eight values
listed. No two have the same value. Match each value with its corresponding
letter.

Values: 2, 6, 10, 12, 16,
18, 20, 26

Z + S = X

V – X = Y

U + Z = T

W – V = Z

T + U = W

Y + U = S

4) The
last of four sisters got married
yesterday. There has been a wedding a
year for the last four years, all on the 16

^{th}April. Dee married yesterday, Carol last year, Babs the year before and Abbi the year before that. Abbi is older than Dee. The strange thing is that each bride was married when her age was exactly the same as the sum of the digits of the ages of her three sisters. All daughters were married before their 30^{th}birthday. How old is each daughter?
5) Jake and three classmates were comparing the number of medals
they’d won at the swimming gala. “I’ve
got one more than you”, said Jake. “And
I have two more than you”, said one pupil to another. “I’ve got three more than you” said one to
another. “I’ve got four more than you”,
“And I’ve got five more than you”, “I’ve got six more than you”, as their
voices rose to a clamour, but we don’t know who was talking to whom. They managed to win 27 medals between them,
how many did Jake win?

6) Fifty minutes ago, it was four times as many minutes past 9pm as
the number of minutes it currently is until midnight. What is the current time?

7) 1.
Brother and sister Albert and Florence are now adults, with
their ages totaling 64. When asked how
old they are, Albert replies: “I am five times as old as Florence was, when I
was as old as she is now”. How old are they?

8) What is the smallest combination of notes and coins you would need in order to make
every combination between 1p and £10?

9) I need to make as many Union Jacks as possible for a Eurovision
party. They are to measure 2 feet by 3
feet. The material costs £1.50 per foot
and comes in a roll five feet wide, which can be bought in any length (down to
the inch). I have a total of £12.60 to
spend on cloth – how many whole flags can I make?

10 ) A salmon’s tail weighs 8 kilos. Its head weighs the same as the tail plus one
half of the body, and the body weighs as much as the head and tail
combined. How much does the salmon weigh
in total?

11) Using only plus and minus, create an equation by inserting the

**fewest**of them possible into 987654321 = 100. Eg 98 + 7 – 6 + 5 – 4 + 3 - 2 – 1 = 100. The numbers must stay in the same order.
12) .
In my garden is a web with 13 spiders and flies in it. There is a total of 94 legs in the web. How many spiders are there?

13) If I drive to my friend’s at an average speed of 30mph, then
return at an average speed of 20mph, what is my average speed for the round
trip?

14)After 10 days in the USA I had a pocketful of 55 coins, which
totalled exactly 10 dollars. There are
more nickels (5 cents) than one cent coins, more dimes (10 cents) than nickels,
and more quarters than dimes. How many
of each coin do I have?

15) If 3 schoolboys eat 3 boxes of cornflakes in 3 weeks and 4
schoolgirls eat 4 packets of cornflakes in 4 weeks and 6 teachers eat 6 paclets
of cornflakes in 6 weeks then how many cornflakes will feed 12 schoolboys, 12
schoolgirls and 12 teachers for 12 weeks?

Answers:

1) (5+5)/5)power 5 +5

2)

More than one answer possible:

(6 - 2) * (3 + 4) - (6 / 2) = 25

(6*2) - (3-4 )+
(6*2)= 25

3) S=12; T=16; U=10; V=20; W=26; X=18; Y=2; Z=6

4) Abbi is 27, Babs is 28, Carol is 20, and Dee is 21, 21 = 2+7+2+8+2+0.

A year ago, they were 26, 27, 19, and 20, 19 = 2+6+2+7+2+0.

Two years ago, they were 25, 26, 18, and 19, 26 = 2+5+1+8+1+9.

Three years ago, they were 24, 25, 17, and 18, 24 = 2+5+1+7+1+8.

5) (The medals won were 4, 5, 8 and 10)

6)11:34pm

7) Albert is 40 and Florence is 24

8) 1p, 2p, 2p, 5p, 10p, 10p, 20p, 50p, £1, £1, £2, £5 or 1p, 2p, 2p, 5p, 10p, 20p, 20p, 50p, £1, £2, £2, £5

9) Six. You can buy 8.4 feet of material with the money, so there will be a rectangle of 8.4 x 5. Cut this into two rectangles, 8.4 x2 and 8.4 x 3. Two flags and four flags respectively can be made from the two rectangles.

10) 64 kg

11) 98 – 76 + 54 + 3 +21 = 100

12) 8

13) 24 mph

14) 35 quarters $8.75

9 dimes .90

6 nickels .30

5 pennies .05

Total $10.00

15) 108 packs

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