Algebra
Students in 10Maths
Problem Solving
Brain teasers
Miss Whitehead
100

Evaluate when x = -3

2x2 -5x +4

37

100

How many students has Miss Whitehead taught in Year 10 Maths this year?

32


30 now + Manab + Charlie

100

A number is doubled, then 6 is added, and the result is 20. What was the original number?

7

100

You are in a room with three light switches (off). In another room are three lamps (each controlled by one switch). You may flip switches as you like, then go into the lamp room once to check. How can you tell which switch controls which lamp?

Turn on switch A for a while, then turn it off and turn on B just before you go.

In the lamp room: the hot-but-off bulb = A, the on bulb = B, the cold-off bulb = C.

100

What winter sport does Miss Whitehead play?

Hockey

200

4(2x−3)−3(x+5)

5x−27

200

How many boarders do we have in our Year 10 maths class?

3

200

A rectangle has a length of 10cm and area of 60cm2. What is the width?

6

200

Three friends split a $25 pizza ($8 each, $1 change). They each take $0.30 and give $0.10 to the waiter. Where’s the missing $0.10?

There is no missing money — it's a misdirection in the addition.

200

Who does Miss Whitehead think is the loudest?

Alex

300

(3x-4)/2 =7

x=6

300

What four boys are most likely to ask about silent ball, according to Miss Whitehead?

Oliver
Joel
Alex
Maso

300

A sequence goes: 4, 7, 10, 13… What is the 10th term?

31

300

A mother is 30 years older than her child. In 6 years, the mother will be 5 times the child's age. Where are they now?

Child is 4, mother is 34.

300

What is Miss Whitehead’s favourite type of maths topic?

Algebra

400

(x-5)- (x-1)(x+1)

-10x + 26

400

List all the boys who have a last name beginning with 'M'.

6

Jonty Maso, Liam Melley
Sam Mooar, Liam Mooney
Liam Morgan, Jayden Murray

400

A jacket is originally $80. It is discounted by 25%, then an extra $10 is taken off the sale price.
What is the final price?

$50
(25% of 80 = 20 → sale price = 60 → minus 10 = 50)

400

There are 5 houses in a row, each painted a different color. In each house lives a person with a different favorite fruit: apple, banana, cherry, grape, orange. The person in the red house likes apples. The banana lover lives immediately to the left of the cherry lover. The orange lover lives at one of the ends. Who lives in the green house if the middle house is yellow?

Grape lover

400

What is Miss Whitehead's favourite colour?

Yellow

500

Find the intersection of these lines.
2x + y = 7
3x - 2y = 4

(2,3)

500

Given we are only looking at students who sat all our in class tests, who got the highest average?

Hiru

500

Four students (A, B, C and D) each make one statement about who won the class quiz. Exactly one of the statements is true. Who won the quiz?

  • A: “I didn’t win.”

  • B: “C won.”

  • C: “B didn’t win.”

  • D: “A or C won.”

B won the quiz.

500

Two guards, one always lies and one always tells the truth. They stand before two doors: one leads to treasure, one to a pit. You may ask one yes/no question to one guard. What question guarantees finding the treasure door?

Ask either guard: “If I asked the other guard which door leads to the treasure, would they say door A?” — then pick the opposite of that answer.

500

Where did Miss Whitehead grow up before she moved to Christchurch?

Hastings

M
e
n
u