UIV revision 16 April 2024

Georgie, Zoe, and Ava are on a science expedition! They discovered a mysterious formula that doesn't simplify to y³. Can you help them figure out which one it is?

• y x y x y

• y² x y

• y⁵ ÷ y²

• y + y + y

Answer explanation

The correct choice is y + y + y because it does not simplify to y^3, unlike the other options which can be simplified to y^3.

Be, Georgie, and Ginny are on a math adventure! They stumbled upon a magical math puzzle. Which of the following spells does not transform into the powerful '3y'?

• 5y - 2y

• y + y + y

• 6y²÷2y

• y x y x y

Answer explanation

The correct choice is 'y x y x y' as it does not transform into '3y' when simplified

Lauren, Georgie, and Ava are on a math adventure! They stumbled upon a magical math puzzle. Which of the following spells does not transform into the powerful 5y?

• 4y + y

• 4y x y

• 10y² ÷ 2y

• 8y - 3y

Answer explanation

The correct choice is 4y x y because when multiplied, it results in 4y^2, not 5y as required by the puzzle.

Imagine Ore, Georgie, and Lauren are playing with a giant, colorful regular hexagon in their geometry class. The teacher asks, 'How many lines of symmetry does this regular hexagon have?' Can you help them answer this fun question?

• 1

• 12

• 3

• 6

Answer explanation

A regular hexagon has 6 lines of symmetry, where each line divides the hexagon into two equal parts. Therefore, the correct answer is 6.

Imagine Ginny, Harriet, and Lauren are on a treasure hunt. They come across a magical door that will only open if they can identify a special quadrilateral. This quadrilateral has a superpower of rotating halfway around and looking exactly the same, but it's shy and doesn't like to show any lines of symmetry. Which quadrilateral is it?

• Rhombus

• Kite

• Parallelogram

• Trapezium

Answer explanation

The special quadrilateral that rotates halfway around and looks the same without showing any lines of symmetry is a Parallelogram.

Imagine Lauren, Ava, and Annabel are playing a treasure hunt game. They found a chest that can only be opened by solving the riddle: 5 + 3² - 6 x 4. What's the magic number to unlock the treasure?

• -10

• -13

• 20

• 32

Answer explanation

To unlock the treasure, solve the expression: 5 + 3^2 - 6 x 4 = 5 + 9 - 24 = -10. Therefore, the magic number to unlock the treasure is -10.

Imagine Lauren, Ava, and Ginny are on a treasure hunt. They find a chest with a puzzle lock that reads: '6 x (2 + 3)² - 4'. Solve this to unlock the treasure!

• 146

• 56

• 36

• 6

Answer explanation

To solve the puzzle, first calculate the expression inside the parentheses: 2 + 3 = 5. Then square 5 to get 25. Multiply 6 by 25 to get 150. Finally, subtract 4 to get the correct answer of 146.

Imagine Ore, Harriet, and Lauren are on a treasure hunt. They stumble upon an ancient door with a riddle: '3 x (5² - 4²)'. Solve this to unlock the treasure. What is the answer?

• 27

• 6

• 51

• -18

Answer explanation

To solve the expression, first calculate 5^2 = 25 and 4^2 = 16. Then subtract 16 from 25 to get 9. Finally, multiply 3 by 9 to get the answer 27.

Imagine Harriet, Annabel, and Georgie are on a treasure hunt. They find a chest full of gold coins! If they decide to split the treasure so that each gets one fifth, how much would each get if we represent their share as a decimal?

• 0.2

• 1.5

• 0.15

• 0.5

Answer explanation

Each person gets 1/5 of the treasure, which is equivalent to 0.2 when represented as a decimal. Therefore, each person would get 0.2 of the treasure.

Imagine Zoe, Ava, and Annabel are on a science quest. They discovered a lab door locked with a digital keypad that requires them to arrange numbers in ascending order to gain entry. Help them access the lab by choosing the correct sequence of numbers.

• -4.4, -4.04, -0.44, -0.4

• -0.4, -0.44, -4.04, -4.4

• -4.4, -4.04, -0.4, -0.44

• -4.4, -0.4, -0.44, 4.04

Answer explanation

The correct sequence is -4.4, -4.04, -0.44, -0.4 as it follows the ascending order from negative to positive numbers.