Thinking Skills

Amy is to the right of Ben, so Ben is left of Amy. Cara is to the right of Amy. From left to right the order is Ben, Amy, Cara, so Ben is on the far left.

3 weeks = 21 days. The pool is closed on 3 Mondays and 3 Thursdays, which is 6 days. Open days = 21 − 6 = 15.

A supporting statement gives a reason in favour of the claim. The point about children learning healthy eating describes a clear benefit. The watering and weeding point is extra work, a reason against. The playground and easier-to-grow points do not bear on whether schools should have a garden.

A 90° anticlockwise turn moves the top-left corner to the bottom-left.

“Only students who completed their homework may play” makes finishing homework a requirement for playing. So anyone who didn’t finish cannot play. The option that says everyone who finished will be allowed to play reverses the rule (finishing is required but does not guarantee a turn), and the others are not stated.

The pattern repeats every 3 shapes. 14 ÷ 3 = 4 remainder 2, so the 14th shape matches the 2nd shape in the cycle, which is a circle.

Cats (Ben, Cara) = 2; dogs (Ben, Dan) = 2; rabbits (Ben, Dan) = 2; fish = 1; turtles = 1; hamsters = 1. Of the options, only hamsters is kept by exactly one friend (Dan).

The point about better concentration in class gives a direct reason in favour of a ban. The option about enjoying music after school is actually a reason for keeping phones, and the other two are off-topic.

Anna and Dan sit opposite each other, so Ben and Cara take the two side seats. Because Dan faces the opposite way to Anna, the seat on Dan’s left is the one on Anna’s right, which is Cara.

In order from shortest: Sarah, Vera, Tom, Uma, Will. So Sarah is the shortest.

Liam jumps from “didn’t come to school” straight to “must be sick”. That only works if the only reason Tom ever stays home is sickness. The other options don’t fill that gap.

Monday to Friday: 5 days × 8 hours = 40 hours. Saturday: 3 hours. Total = 40 + 3 = 43 hours.

Cara is east of Anya, and Anya is north of the school. So Cara is both north of the school and to the east, which is northeast.

Bringing a cap is required to enter, but it doesn’t force you to enter. Mia is right: no cap means no entry. Noah is wrong: having a cap doesn’t guarantee Sara will swim. So only Mia is correct.

Each fold doubles the layers: 2, then 4, then 8 layers. One hole through 8 layers makes 8 holes.

Blue must be immediately right of red, so red can’t be at the right end. Red is at the left end (1) with blue at 2. Green and yellow fill 3 and 4 with green left of yellow. So the order is red, blue, green, yellow, and the left end is red.

The point about the growing population and the overcrowded library shows a real need. The unused-land option is about whether it is possible, not whether it is needed; the read-at-home option argues against; and the nearby-towns option is about other towns, not this one.

Anna flips the rule around. “All good scorers attended every lesson” does not mean “everyone who attended every lesson scored well”. Tom attending every lesson doesn’t guarantee a good mark.

Changes: Sydney +6, Melbourne −7, Brisbane +2, Perth +5, Adelaide +3. The biggest change in size is Melbourne’s drop of 7 degrees.

Per day: Mon 1, Tue 1, Wed 2 (football and art), Thu 1, Fri 1, Sat 1, Sun 0. Days with exactly one activity: Mon, Tue, Thu, Fri, Sat = 5.

The players didn’t go to the cinema, so the match wasn’t cancelled. If it wasn’t cancelled, it didn’t rain, and the match was played. The options saying it rained or that the match was cancelled are the opposite of what we found.

Dan isn’t chosen, so Cara must be a monitor. The second monitor is Anna or Ben. Anna works (then Ben is out, which is allowed). Ben also works (the rule only blocks Ben when Anna is chosen). So either Anna or Ben.

Maya uses one parrot to conclude something about all parrots (a hasty generalisation). Eli uses “most birds” to conclude about penguins, but “most” is not “all”, and penguins are the exception. Both are flawed.

Flour allows 24 ÷ 2 = 12 pizzas. Cheese allows 36 ÷ 3 = 12. Pepperoni allows 15 ÷ 1 = 15. The smallest is 12, so the shop can make 12 pizzas.

Blue is two places right of red, and purple is just right of blue, so red, _, blue, purple sit in a run. The only fit with yellow at an end and green between red and yellow is: red, green, blue, purple, yellow. The middle box is blue.

Bear had 7 votes. 4 go to Lion (9 + 4 = 13) and the other 3 go to Eagle (8 + 3 = 11). Lion wins with 13.

Eva is 1st, Anna 2nd and Ben 5th (back). Dan and Cara must be together (Cara behind Dan), so they take 3rd and 4th: Dan 3rd, Cara 4th. The fourth person is Cara.

Two folds make four layers, and the outer corner (with two open edges) lines up with all four corners of the original sheet. So cutting it removes a triangle from every corner: four triangles.

Cara didn’t order water, and the juice was Anna’s or Ben’s (not Cara’s), so Cara ordered lemonade. The rule then says: if Cara had lemonade, Ben had juice. So Ben ordered the juice (and Anna had water).

Not red, and not the end boxes (red on the left, blue on the right), so it’s orange, yellow or green. It must be a primary colour (red, yellow or blue). The only one left is yellow.