Here are the answers to your questions:

### Vocabulary and Phrasal Verbs

**Question 24:** long last, I got an A on a math test. All that studying really helped.  
**Answer:** A. At  
*Explanation:* The phrase "At last" means finally or after a long time.

**Question 25:** Campaigners say farmed fish grow __________ because they are reared in a confined space, compared with wild salmon that may have swum for hundreds of miles.  
**Answer:** C. fat  
*Explanation:* Farmed fish grow "fat" due to the confined space and controlled feeding.

**Question 26:** I'm hesitant to give my child access to the Internet, knowing full well what horrible things lie in its hidden.  
**Answer:** B. depths  
*Explanation:* The phrase "hidden depths" refers to the hidden, often unpleasant aspects.

**Question 27:** The bank's staff were already angered by the __________ pay rise.  
**Answer:** D. meagre  
*Explanation:* "Meagre" means insufficient or very small, especially in reference to pay.

**Question 28:** There's __________ a time before the plane leaves.  
**Answer:** B. heaps  
*Explanation:* "Heaps" can mean a lot of, so "heaps of time" means a lot of time.

**Question 29:** Studies illustrate a variety of data types and offer __________ opportunity for research-methodological critique.  
**Answer:** C. ample  
*Explanation:* "Ample" means more than enough, which fits the context of providing plenty of opportunity.

**Question 30:** Compared to other elderly relatives requires __________ moral courage.  
**Answer:** A. considerable  
*Explanation:* "Considerable" means large in amount or degree, which suits the context.

**Question 31:** The new treatment could save Emma's life and the lives of others.  
**Answer:** B. bulk  
*Explanation:* "Bulk" means a large amount or majority, which fits the context of saving many lives.

**Question 32:** The new treatment could save Emma's life and the lives of others.  
**Answer:** D. countless  
*Explanation:* "Countless" means too many to be counted, appropriate for the number of lives saved.

**Question 33:** I am in Ruth's __________ for the excellent advice she gave me.  
**Answer:** D. benefit  
*Explanation:* "Benefit" means being grateful or receiving an advantage from something.

**Question 34:** He is entitled to __________ compensation for the injuries sustained.  
**Answer:** C. compensation  
*Explanation:* "Compensation" refers to money received as a recompense for loss or injury.

**Question 35:** We thought we'd bought lots of food, but it didn't __________ much when we'd spread it out on the table.  
**Answer:** B. add up to  
*Explanation:* "Add up to" means to total or amount to, which fits the context of food quantity.

**Question 36:** Retailers are trying to __________ sales with price cuts.  
**Answer:** C. drum up  
*Explanation:* "Drum up" means to increase or promote, especially sales.

**Question 37:** After several deadlines, David had failed to __________ any of the money.  
**Answer:** D. pay back  
*Explanation:* "Pay back" means to return money that was borrowed.

**Question 38:** Several subcommittees will be set up to __________ specific environmental issues.  
**Answer:** A. deal with  
*Explanation:* "Deal with" means to address or handle, appropriate for specific issues.

**Question 39:** Stress at work can often be __________ into your home life.  
**Answer:** A. carried over  
*Explanation:* "Carried over" means transferred from one context to another, like stress from work to home.

**Question 40:** You need lots of fresh fruit to __________ up.  
**Answer:** C. build  
*Explanation:* "Build up" means to develop or increase, such as building up health.

**Question 41:** These rules tell us how a sentence is __________ into phrases.  
**Answer:** B. broken down  
*Explanation:* "Broken down" means to divide or analyze into parts, such as sentence structure.

**Question 42:** The heavy burden __________ the poor donkey down. The load of bricks weighed down the truck.  
**Answer:** A. weighed  
*Explanation:* "Weighed down" means to be heavily burdened or loaded.

**Synonym**

**Question 43:** He was on a high after receiving the promotion.  
**Answer:** B. excited  
*Explanation:* "Excited" fits the context of feeling elated or happy after a promotion.

**Question 44:** A lot of time that did me, spending all that time carefully wrapping the ceramic mugs only to drop them on the floor and break them all.  
**Answer:** A. No help  
*Explanation:* "No help" means it was of no use or advantage, fitting the context of wasted effort.