HAVE TO/DON'T HAVE TO
MUST/MUSTN'T
CAN/COULD/BE ABLE TO
COULD/MANAGED TO
(NOT)BE ALLOWED TO
100

You ______ wear a helmet when riding a bike.
→ (have to / don’t have to)

have to

100

You ______ stop when the traffic light is red.

must

100

She ______ speak three languages.

can/is able to

100

When I was a child, I ______ climb trees easily.

could/was able to

100

Students ______ eat in the classroom

aren't allowed to

200

We ______ wake up early on Sundays.
→ (have to / don’t have to)

don't have to

200

You ______ smoke in the hospital.

mustn't

200

When I was younger, I ______ run very fast.

could/was able to

200

After trying many times, she ______ fix the car.

managed to

200

You ______ park your car in the street tomorrow.  It’s forbidden.

won't be allowed to

300

You ______ finish your homework today. It’s optional.
A) have to
B) don’t have to

don't have to

300

Students ______ use their phones during the exam.
A) must
B) mustn’t

mustn't

300

I ______ help you tomorrow if you need it.
A) can
B) could
C) will be able to

Can/will be able to

300

He ______ escape from the building during the fire.
A) could
B) managed to
C) can

managed to

300

We_____________drive since his accident.
A)  wasn't allowed to
B) hasn't been allowed to
 

hasn't been allowed to

400

She ______ go to school tomorrow because it’s a holiday.

doesn't have to

400

I ______ remember to call my mom tonight.

must

400

The English test is tomorrow. I'm sure he __________________pass easily.

will be able to

400

We ______ see the mountains from our hotel room.

could

400

He ______ enter the club because he was under 18

wasn't allowed to 

500

what is the difference between "mustn't" and "don't have to"?

Mustn't is used to express prohibition while don't have to expresses absence of obligation.
500

What is the difference between "must" and "be allowed to"?

Must conveys obligation while be allowed to expresses permission

500

Can we use "be able to" in any tense?

Yes, we can. 

500

What is the difference between "Could" and "Managed to"?

COULD: a general ability in the past.

MANAGED TO: a specific ability/achievement .

500

What is the difference between "mustn't" and "not be allowed to"?

None.